-
-
Normalized solutions to nonlinear Schrödinger equations with competing Hartree‐type nonlinearities Math. Nachr. (IF 1.0) Pub Date : 2024-03-13 Divyang Bhimani, Tianxiang Gou, Hichem Hajaiej
In this paper, we consider solutions to the following nonlinear Schrödinger equation with competing Hartree‐type nonlinearities, under the ‐norm constraint where , , and appearing as Lagrange multiplier is unknown. First, we establish the existence of ground states in the mass subcritical, critical, and supercritical cases. Then, we consider the well‐posedness and dynamical behaviors of solutions to
-
-
-
Effects of indirect signal absorption in the chemotaxis system involving singularly signal‐dependent motilities Math. Nachr. (IF 1.0) Pub Date : 2024-03-13 Yan Li, Jiaqi Wang, Fei Pan
We consider the initial‐boundary problem of the chemotaxis system with indirect consumption in a smoothly bounded domain with . It is shown that for all suitably regular initial data, global solvability in classical sense can be established even with singularly signal‐dependent motilities involved. To be specific, the global classical solution is constructed for arbitrary .
-
Convexity properties of Yoshikawa–Sparr interpolation spaces Math. Nachr. (IF 1.0) Pub Date : 2024-03-13 Karol Aleksandrowicz, Stanisław Prus
We study stability of the three geometric properties: uniform convexity, nearly uniform convexity, and property under the Yoshikawa–Sparr interpolation method when the resulting interpolation space is considered with various equivalent norms. We give an example which shows that interpolation spaces obtained by the discrete and continuous versions of the method need not be isometric and present a method
-
Complete real Kähler submanifolds Math. Nachr. (IF 1.0) Pub Date : 2024-03-12 A. de Carvalho
Let denote an isometric immersion of a Kähler manifold with complex dimension into Euclidean space with codimension . We show that generic rank conditions on the second fundamental form of a non‐minimal complete real Kähler submanifold imply that is a cylinder over a real Kähler submanifold .
-
Ergodic properties of multiplication and weighted composition operators on spaces of holomorphic functions Math. Nachr. (IF 1.0) Pub Date : 2024-03-12 Daniel Santacreu
We obtain different results about the mean ergodicity of weighted composition operators when acting on the spaces , , and , where is the open unit ball of a Banach space, as well as about the compactness and the mean ergodicity of the multiplication operator. This study relates these properties of the operators with properties of the symbol and the weight defining such operators.
-
K3 surfaces with a symplectic automorphism of order 4 Math. Nachr. (IF 1.0) Pub Date : 2024-03-12 Benedetta Piroddi
Given , a K3 surface admitting a symplectic automorphism of order 4, we describe the isometry on . Having called and , respectively, the minimal resolutions of the quotient surfaces and , we also describe the maps induced in cohomology by the rational quotient maps and : With this knowledge, we are able to give a lattice‐theoretic characterization of , and find the relation between the Néron–Severi
-
On the completeness of root function system of the Dirac operator with two‐point boundary conditions Math. Nachr. (IF 1.0) Pub Date : 2024-03-06 Alexander Makin
The paper is concerned with the completeness property of root functions of the Dirac operator with summable complex‐valued potential and nonregular boundary conditions. We also obtain an explicit form for the fundamental solution system of the considered operator.
-
On the structure of Nevanlinna measures Math. Nachr. (IF 1.0) Pub Date : 2024-03-04 Mitja Nedic, Eero Saksman
In this paper, we study the structural properties of Nevanlinna measures, that is, Borel measures that arise in the integral representation of Herglotz–Nevanlinna functions. In particular, we give a characterization of these measures in terms of their Fourier transform, characterize measures supported on hyperplanes including extremal measures, describe the structure of the singular part of the measures
-
Global existence for nonlocal quasilinear diffusion systems in nonisotropic nondivergence form Math. Nachr. (IF 1.0) Pub Date : 2024-03-04 Catharine W. K. Lo, José Francisco Rodrigues
We consider the quasilinear diffusion problem of for an open set , , for , and any . Here, denotes an operator which may involve the distributional Riesz fractional gradient of order , with , the classical gradient or/and nonlocal derivatives , with . We show global existence results for various quasilinear diffusion systems in nondivergence form for linear elliptic operators , including classical
-
Totally geodesic Lagrangian submanifolds of the pseudo‐nearly Kähler SL(2,R)×SL(2,R)$\mathrm{SL}(2,\mathbb {R})\times \mathrm{SL}(2,\mathbb {R})$ Math. Nachr. (IF 1.0) Pub Date : 2024-03-04 Mateo Anarella, J. Van der Veken
In this paper, we study Lagrangian submanifolds of the pseudo‐nearly Kähler . First, we show that they split into four different classes depending on their behavior with respect to a certain almost product structure on the ambient space. Then, we give a complete classification of totally geodesic Lagrangian submanifolds of this space.
-
Extrapolation to mixed Herz spaces and its applications Math. Nachr. (IF 1.0) Pub Date : 2024-03-04 Mingquan Wei
In this paper, we extend the extrapolation theory to mixed Herz spaces and . To prove the main result, we first study the dual spaces of mixed Herz spaces, and then give the boundedness of the Hardy–Littlewood maximal operator on mixed Herz spaces. By using the extrapolation theorems, we obtain the boundedness of many integral operators on mixed Herz spaces. We also give a new characterization of via
-
The Metivier inequality and ultradifferentiable hypoellipticity Math. Nachr. (IF 1.0) Pub Date : 2024-02-28 Paulo D. Cordaro, Stefan Fürdös
In 1980, Métivier characterized the analytic (and Gevrey) hypoellipticity of ‐solvable partial linear differential operators by a priori estimates. In this note, we extend this characterization to ultradifferentiable hypoellipticity with respect to Denjoy–Carleman classes given by suitable weight sequences. We also discuss the case when the solutions can be taken as hyperfunctions and present some
-
On the zero set of the holomorphic sectional curvature Math. Nachr. (IF 1.0) Pub Date : 2024-02-28 Yongchang Chen, Gordon Heier
A notable example due to Heier, Lu, Wong, and Zheng shows that there exist compact complex Kähler manifolds with ample canonical line bundle such that the holomorphic sectional curvature is negative semi‐definite and vanishes along high‐dimensional linear subspaces in every tangent space. The main result of this note is an upper bound for the dimensions of these subspaces. Due to the holomorphic sectional
-
Energy behavior for Sobolev solutions to viscoelastic damped wave models with time‐dependent oscillating coefficient Math. Nachr. (IF 1.0) Pub Date : 2024-02-28 Xiaojun Lu
In this work, we study the asymptotic behavior of the structurally damped wave equations arising from the viscoelastic mechanics. We are particularly interested in the complicated interaction of the time‐dependent oscillating coefficients on the Dirichlet Laplacian operator and the structurally damped terms. On the one hand, by the application of WKB analysis, we explore the asymptotic energy estimates
-
Extension and embedding theorems for Campanato spaces on C0,γ$C^{0,\gamma }$ domains Math. Nachr. (IF 1.0) Pub Date : 2024-02-28 Damiano Greco, Pier Domenico Lamberti
We consider Campanato spaces with exponents on domains of class in the N‐dimensional Euclidean space endowed with a natural anisotropic metric depending on . We discuss several results including the appropriate Campanato's embedding theorem and we prove that functions of those spaces can be extended to the whole of the Euclidean space without deterioration of the exponents .
-
I‐surfaces from surfaces with one exceptional unimodal point Math. Nachr. (IF 1.0) Pub Date : 2024-02-24 Sönke Rollenske, Diana Torres
We complement recent work of Gallardo, Pearlstein, Schaffler, and Zhang, showing that the stable surfaces with and they construct are indeed the only ones arising from imposing an exceptional unimodal double point.In addition, we explicitly describe the birational type of the surfaces constructed from singularities of type , , .
-
The Mullins–Sekerka problem via the method of potentials Math. Nachr. (IF 1.0) Pub Date : 2024-02-24 Joachim Escher, Anca‐Voichita Matioc, Bogdan‐Vasile Matioc
It is shown that the two‐dimensional Mullins–Sekerka problem is well‐posed in all subcritical Sobolev spaces with . This is the first result, where this issue is established in an unbounded geometry. The novelty of our approach is the use of the potential theory to formulate the model as an evolution problem with nonlinearities expressed by singular integral operators.
-
Density of smooth functions in Musielak–Orlicz–Sobolev spaces Wk,Φ(Ω)$W^{k,\Phi }(\Omega)$ Math. Nachr. (IF 1.0) Pub Date : 2024-02-24 Anna Kamińska, Mariusz Żyluk
We consider here Musielak–Orlicz–Sobolev (MOS) spaces , where is an open subset of , and is a Musielak–Orlicz function. The main outcomes consist of the results on density of the space of compactly supported smooth functions in . One section is devoted to compare the various conditions on appearing in the literature in the context of maximal operator and density theorems in MOS spaces. The assumptions
-
A singular growth phenomenon in a Keller–Segel–type parabolic system involving density‐suppressed motilities Math. Nachr. (IF 1.0) Pub Date : 2024-02-24 Yulan Wang, Michael Winkler
A no‐flux initial‐boundary value problem for is considered in a ball , where and .Under the assumption that , it is shown that for each , there exist and a positive with the property that whenever is nonnegative with , the global solutions to () emanating from the initial data have the property that
-
The strongest Banach–Stone theorem for C0(K,ℓ22)$C_{0}(K, \ell _2^2)$ spaces Math. Nachr. (IF 1.0) Pub Date : 2024-02-22 Elói Medina Galego
As usual denote by the real two‐dimensional Hilbert space. We prove that if K and S are locally compact Hausdorff spaces and T is a linear isomorphism from onto satisfying then K and S are homeomorphic.This theorem is the strongest of all the other vector‐valued Banach–Stone theorems known so far in the sense that in none of them the distortion of the isomorphism T, denoted by , is as large as .Some
-
Generalized noncooperative Schrödinger–Kirchhoff–type systems in RN$\mathbb {R}^N$ Math. Nachr. (IF 1.0) Pub Date : 2024-02-22 Nabil Chems Eddine, Dušan D. Repovš
We consider a class of noncooperative Schrödinger–Kirchhof–type system, which involves a general variable exponent elliptic operator with critical growth. Under certain suitable conditions on the nonlinearities, we establish the existence of infinitely many solutions for the problem by using the limit index theory, a version of concentration–compactness principle for weighted‐variable exponent Sobolev
-
Littlewood–Paley and wavelet characterization for mixed Morrey spaces Math. Nachr. (IF 1.0) Pub Date : 2024-02-21 Toru Nogayama
In this paper, we consider the Littlewood–Paley characterization for mixed Morrey spaces and its predual spaces. The topology to converge the Littlewood–Paley decomposition for the element of mixed Morrey spaces is the weak‐* topology. If we consider the topology of mixed Morrey spaces, we must give other characterization by using the heat semigroup. As an application, we show the wavelet characterization
-
Infinite time blow-up with arbitrary initial energy for a damped plate equation Math. Nachr. (IF 1.0) Pub Date : 2024-02-20 Xiatong Li, Zhong Bo Fang
This paper deals with the infinite blow-up phenomena for a class of damped plate equations with logarithmic nonlinearity under the Navier boundary condition. Combining potential well method and modified differential inequality technique, we establish the infinite blow-up result of solutions with arbitrary initial energy. In particular, it is not necessary to suppose that the initial velocity and the
-
On the commuting probability of π-elements in finite groups Math. Nachr. (IF 1.0) Pub Date : 2024-02-15 Juan Martínez
Let G be a finite group, π be a set of primes, and p be the smallest prime in π. In this work, we prove that G possesses a normal and abelian Hall π-subgroup if and only if the probability that two random π-elements of G commute is larger than p2+p−1p3$\frac{p^2+p-1}{p^3}$. We also prove that if x is a π-element not lying in Oπ(G)$O_{\pi }(G)$, then the proportion of π-elements commuting with x is
-
Bilinear Θ-type Calderón–Zygmund operators and their commutators on product generalized fractional mixed Morrey spaces Math. Nachr. (IF 1.0) Pub Date : 2024-02-12 Guanghui Lu, Shuangping Tao, Miaomiao Wang
The aim of this paper is to investigate the boundedness of the bilinear θ-type Calderón–Zygmund operator and its commutator on the product of generalized fractional mixed Morrey spaces. Under assumption that the positive and increasing functions φ(·)$\varphi (\cdot)$ defined on [0, ∞) satisfy doubling conditions, we prove that the bilinear θ-type Calderón–Zygmund operator T∼θ$\widetilde{T}_{\theta
-
Parallel and totally umbilical hypersurfaces of the four-dimensional Thurston geometry Sol04 Math. Nachr. (IF 1.0) Pub Date : 2024-02-01 Marie D'haene, Jun-ichi Inoguchi, Joeri Van der Veken
We study hypersurfaces of the four-dimensional Thurston geometry Sol 0 4 $\mathrm{Sol}^4_0$ , which is a Riemannian homogeneous space and a solvable Lie group. In particular, we give a full classification of hypersurfaces whose second fundamental form is a Codazzi tensor—including totally geodesic hypersurfaces and hypersurfaces with parallel second fundamental form—and of totally umbilical hypersurfaces
-
On Fourier–Mukai type autoequivalences of Kuznetsov components of cubic threefolds Math. Nachr. (IF 1.0) Pub Date : 2024-01-23 Ziqi Liu
We determine the group of all Fourier–Mukai type autoequivalences of Kuznetsov components of smooth complex cubic threefolds, and provide yet another proof for the Fourier–Mukai version of the categorical Torelli theorem for smooth complex cubic threefolds.
-
Arithmeticity of the Kontsevich–Zorich monodromies of certain families of square-tiled surfaces II Math. Nachr. (IF 1.0) Pub Date : 2024-01-23 Manuel Kany, Carlos Matheus
In this note, we extend the scope of our previous work joint with Bonnafoux, Kattler, Niño, Sedano-Mendoza, Valdez, and Weitze-Schmithüsen by showing the arithmeticity of the Kontsevich–Zorich monodromies of infinite families of square-tiled surfaces of genera four, five, and six.
-
Correction to “Integral Ricci curvature and the mass gap of Di-richlet Laplacians on domains” Math. Nachr. (IF 1.0) Pub Date : 2024-01-12
Xavier Ramos Olivé, Christian Rose, Lili Wang, Guofang Wei. Integral Ricci curvature and the mass gap of Di-richlet Laplacians on domains. Math. Nachr. 296 (2023), no. 8, 3559–3578. The “funding information” on the first page of the article is incomplete: Lili Wang has been also supported by NSFC grant number 12111025.
-
Global integrability for solutions to quasilinear elliptic systems with degenerate coercivity Math. Nachr. (IF 1.0) Pub Date : 2024-01-11 Ya Li, Gaoyang Liu, Hongya Gao
This paper deals with global integrability for solutions to quasilinear elliptic systems involving N equations of the form
-
Cohomological connectivity of perturbations of map-germs Math. Nachr. (IF 1.0) Pub Date : 2024-01-03 Yongqiang Liu, Guillermo Peñafort Sanchis, Matthias Zach
Let f : ( C n , S ) → ( C p , 0 ) $f: (\mathbb {C}^n,S)\rightarrow (\mathbb {C}^p,0)$ be a finite map-germ with n < p $n
-
Kadec–Klee property with respect to the local convergence in measure of Orlicz–Lorentz spaces Math. Nachr. (IF 1.0) Pub Date : 2024-01-02 Paweł Foralewski, Joanna Kończak
In this paper, we find criteria for the Kadec–Klee property with respect to the local convergence in measure in both Orlicz–Lorentz spaces as well as their subspaces of order continuous elements. In the case of Orlicz norm, the presented results are new, whereas in the case of Luxemburg norm, we rely heavily on known results, which we show for the first time as a whole. Finally, we apply the obtained
-
Properties of local orthonormal systems Part I: Unconditionality in Lp, 1 Math. Nachr. (IF 1.0) Pub Date : 2024-01-02 Jacek Gulgowski, Anna Kamont, Markus Passenbrunner
Assume that we are given a filtration (Fn)$(\mathcal F_n)$ on a probability space (Ω,F,P)$(\Omega,\mathcal F,\mathbb {P})$ of the form that each Fn$\mathcal F_n$ is generated by the partition of one atom of Fn−1$\mathcal F_{n-1}$ into two atoms of Fn$\mathcal F_n$ having positive measure. Additionally, assume that we are given a finite-dimensional linear space S of F$\mathcal F$-measurable, bounded
-
Pointwise eigenvector estimates by landscape functions: Some variations on the Filoche–Mayboroda–van den Berg bound Math. Nachr. (IF 1.0) Pub Date : 2023-12-28 Delio Mugnolo
Landscape functions are a popular tool used to provide upper bounds for eigenvectors of Schrödinger operators on domains. We review some known results obtained in the last 10 years, unify several approaches used to achieve such bounds, and extend their scope to a large class of linear and nonlinear operators. We also use landscape functions to derive lower estimates on the principal eigenvalue—much
-
Degrees of closed points on hypersurfaces Math. Nachr. (IF 1.0) Pub Date : 2023-12-28 Francesca Balestrieri
Let k be any field. Let X⊂PkN$X \subset \mathbb {P}_k^N$ be a degree d≥2$d \ge 2$ hypersurface. Under some conditions, we prove that if X(K)≠∅$X(K) \ne \emptyset$ for some extension K/k$K/k$ with n:=[K:k]≥2$n:=[K:k] \ge 2$ and gcd(n,d)=1$\gcd (n,d)=1$, then X(L)≠∅$X(L) \ne \emptyset$ for some extension L/k$L/k$ with gcd([L:k],d)=1$\gcd ([L:k], d)=1$, n∤[L:k]$n \nmid [L:k]$, and [L:k]≤nd−n−d$[L:k]
-
Probabilistic limit theorems induced by the zeros of polynomials Math. Nachr. (IF 1.0) Pub Date : 2023-12-26 Nils Heerten, Holger Sambale, Christoph Thäle
Sequences of discrete random variables are studied whose probability generating functions are zero-free in a sector of the complex plane around the positive real axis. Sharp bounds on the cumulants of all orders are stated, leading to Berry–Esseen bounds, moderate deviation results, concentration inequalities, and mod-Gaussian convergence. In addition, an alternate proof of the cumulant bound with
-
Normalized solutions for a Schrödinger system with critical Sobolev growth in R3 Math. Nachr. (IF 1.0) Pub Date : 2023-12-26 Mei-Qi Liu, Wenming Zou
We study the following critical Schrödinger system in R3$\mathbb {R}^3$:
-
Normalized solutions of the Schrödinger equation with potential Math. Nachr. (IF 1.0) Pub Date : 2023-12-26 Xin Zhao, Wenming Zou
In this paper, for dimension N≥2$N\ge 2$ and prescribed mass m>0$m>0$, we consider the following nonlinear scalar field equation with L2 constraint:
-
Green functions for stationary Stokes systems with conormal derivative boundary condition in two dimensions Math. Nachr. (IF 1.0) Pub Date : 2023-12-15 Jongkeun Choi, Doyoon Kim
We construct Green functions of conormal derivative problems for the stationary Stokes system with measurable coefficients in a two-dimensional Reifenberg flat domain.
-
On the persistence of spatial analyticity for generalized KdV equation with higher order dispersion Math. Nachr. (IF 1.0) Pub Date : 2023-12-15 Tegegne Getachew, Achenef Tesfahun, Birilew Belayneh
Persistence of spatial analyticity is studied for solutions of the generalized Korteweg-de Vries (KdV) equation with higher order dispersion
-
Global solutions to the rotating Navier–Stokes equations with large data in the critical Fourier–Besov spaces Math. Nachr. (IF 1.0) Pub Date : 2023-12-15 Mikihiro Fujii
We consider the initial value problem for the 3D incompressible Navier–Stokes equations with the Coriolis force. The aim of this paper is to prove the existence of a unique global solution with arbitrarily large initial data in the scaling critical Fourier–Besov spaces Ḃ̂p,σ3p−1(R3)3$\widehat{\dot{B}}{}_{p,\sigma}^{\frac{3}{p}-1}(\mathbb {R}^3)^3$ (2⩽p<4$2 \leqslant p <4$, 1⩽σ<∞$1\leqslant \sigma
-
Compact convex sets free of inner points in infinite-dimensional topological vector spaces Math. Nachr. (IF 1.0) Pub Date : 2023-12-10 Almudena Campos-Jiménez, Francisco Javier García-Pacheco
An inner point of a non-singleton convex set M is a point x∈M$x\in M$ satisfying that for all m∈M∖{x}$m\in M\setminus \lbrace x\rbrace$ there exists n∈M∖{m,x}$n\in M\setminus \lbrace m,x\rbrace$ such that x∈(m,n)$x\in (m,n)$. We prove the existence of convex compact subsets free of inner points in the infinite-dimensional setting. Following our pathway to this result, we come up with other several
-
Remainder terms of a nonlocal Sobolev inequality Math. Nachr. (IF 1.0) Pub Date : 2023-12-06 Shengbing Deng, Xingliang Tian, Minbo Yang, Shunneng Zhao
In this note, we study a nonlocal version of the Sobolev inequality
-
Corrigendum to “Improvements on Sawyer-type estimates for generalized maximal functions” Math. Nachr. (IF 1.0) Pub Date : 2023-12-05 Fabio Berra, Marilina Carena, Gladis Pradolini
The purpose of this note is to correct a mixed estimate involving the generalized maximal function M Φ $M_\Phi$ , when Φ is a Young function satisfying certain properties. The family considered include L log L $L\,\text{log}\,L$ type functions. Although the obtained estimates turn out to be slightly different, they are still good extensions of mixed inequalities for the classical Hardy–Littlewood maximal
-
A duality for prescribed mean curvature graphs in Riemannian and Lorentzian Killing submersions Math. Nachr. (IF 1.0) Pub Date : 2023-11-20 Andrea Del Prete, Hojoo Lee, José Miguel Manzano
We develop a conformal duality for space-like graphs in Riemannian and Lorentzian three-manifolds that admit a Riemannian submersion over a Riemannian surface whose fibers are the integral curves of a Killing vector field, which is time-like in the Lorentzian case. The duality swaps mean curvature and bundle curvature and sends the length of the Killing vector field to its reciprocal while keeping
-
The period isomorphism in the tame geometry Math. Nachr. (IF 1.0) Pub Date : 2023-11-20 Annette Huber
We describe singular homology of a manifold X via simplices σ : Δ d → X $\sigma :\Delta _d\rightarrow X$ that satisfy Stokes' formula with respect to all differential forms. The notion is geared to the case of the tame geometry (definable manifolds with respect to an o-minimal structure), where it gives a description of the period pairing with de Rham cohomology via definable simplices.
-
New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications Math. Nachr. (IF 1.0) Pub Date : 2023-11-12 Ziming Shi, Liding Yao
Given a bounded Lipschitz domain Ω ⊂ R n $\Omega \subset \mathbb {R}^n$ , Rychkov showed that there is a linear extension operator E $\mathcal {E}$ for Ω, which is bounded in Besov and Triebel-Lizorkin spaces. In this paper, we introduce some new estimates for the extension operator E $\mathcal {E}$ and give some applications. We prove the equivalent norms ∥ f ∥ A p q s ( Ω ) ≈ ∑ | α | ≤ m ∥ ∂ α f
-
Well-posedness of degenerate fractional differential equations with finite delay in complex Banach spaces Math. Nachr. (IF 1.0) Pub Date : 2023-11-14 Shangquan Bu, Gang Cai
We study the well-posedness of the degenerate fractional differential equations with finite delay: D α ( M u ) ( t ) + c D β ( M u ) ( t ) $D^\alpha (Mu)(t) + cD^\beta (Mu)(t)$ = A u ( t ) + F u t + f ( t ) , ( 0 ≤ t ≤ 2 π ) $= Au(t) + Fu_t + f(t),(0\le t\le 2\pi )$ on Lebesgue–Bochner spaces L p ( T ; X ) $L^p(\mathbb {T}; X)$ and periodic Besov spaces B p , q s ( T ; X ) $B_{p,q}^s(\mathbb {T}; X)$
-
Twisted Iwasawa invariants of knots Math. Nachr. (IF 1.0) Pub Date : 2023-11-09 Ryoto Tange, Jun Ueki
Let p be a prime number and m an integer coprime to p. In the spirit of arithmetic topology, we introduce the notions of the twisted Iwasawa invariants λ , μ , ν $\lambda , \mu , \nu$ of GLN-representations and Z / m Z × Z p ${\mathbb {Z}}/m{\mathbb {Z}}\times {\mathbb {Z}}_{p}$ -covers of knots. We prove among other things that the set of Iwasawa invariants determines the genus and the fiberedness
-
Uncertainty principles for the short-time Fourier transform on the lattice Math. Nachr. (IF 1.0) Pub Date : 2023-11-09 Anirudha Poria, Aparajita Dasgupta
In this paper, we study a few versions of the uncertainty principle for the short-time Fourier transform on the lattice Z n × T n $\mathbb {Z}^n \times \mathbb {T}^n$ . In particular, we establish the uncertainty principle for orthonormal sequences, Donoho–Stark's uncertainty principle, Benedicks-type uncertainty principle, Heisenberg-type uncertainty principle, and local uncertainty inequality for
-
Boundedness of area operators on anisotropic Hardy spaces Math. Nachr. (IF 1.0) Pub Date : 2023-11-09 Changbao Pang, Maofa Wang, Bang Xu
In this paper, we completely characterize the boundedness theory of anisotropic area operators from anisotropic mixed-norm Hardy spaces H a ⃗ p ⃗ ( R n ) $H_{\vec{\mathbf {a}}}^{\vec{p}}(\mathbb {R}^{n})$ into mixed-norm Lebesgue spaces L p ⃗ ( R n ) $L^{\vec{p}}(\mathbb {R}^{n})$ in terms of Carleson measures.
-
On the monotonicity of weighted perimeters of convex bodies Math. Nachr. (IF 1.0) Pub Date : 2023-11-05 Giorgio Saracco, Giorgio Stefani
We prove that, among weighted isotropic perimeters, only constant multiples of the Euclidean perimeter satisfy the monotonicity property on nested convex bodies. Although the analogous result fails for general weighted anisotropic perimeters, a similar characterization holds for radially-weighted anisotropic densities.
-
Energy decay for a coupled wave system with one local Kelvin–Voigt damping Math. Nachr. (IF 1.0) Pub Date : 2023-11-05 Hua-Lei Zhang
In this paper, we study the energy decay of a coupled wave system with one local Kelvin–Voigt damping. The system consists of two wave equations locally coupled by zero-order terms. When the damping coefficient function and the coupling coefficient function satisfy suitable assumptions, by Carleman estimate and the frequency-domain method, we show that the energy of the system decays logarithmically
-
Multiplicity of solutions for a singular problem involving the fractional p-Laplacian in the whole space Math. Nachr. (IF 1.0) Pub Date : 2023-11-05 Zijian Wu, Haibo Chen
In this paper, we prove the multiplicity of positive solutions for the following singular problem involving the fractional p-Laplacian:
-
On the birational geometry of conic bundles over the projective space Math. Nachr. (IF 1.0) Pub Date : 2023-11-05 Alex Massarenti, Massimiliano Mella
Let π : Z → P n − 1 $\pi :Z\rightarrow \mathbb {P}^{n-1}$ be a general minimal n-fold conic bundle with a hypersurface B Z ⊂ P n − 1 $B_Z\subset \mathbb {P}^{n-1}$ of degree d as discriminant. We prove that if d ≥ 4 n + 1 $d\ge 4n+1$ , then − K Z $-K_Z$ is not pseudo-effective, and that if d = 4 n $d = 4n$ , then none of the integral multiples of − K Z $-K_{Z}$ is effective. Finally, we provide examples
-
Trudinger-type inequalities for variable Riesz potentials of functions in Musielak–Orlicz–Morrey spaces over metric measure spaces Math. Nachr. (IF 1.0) Pub Date : 2023-11-05 Takao Ohno, Tetsu Shimomura
We study Trudinger-type inequalities for variable Riesz potentials J α ( · ) , τ f $J_{\alpha (\cdot ), \tau }f$ of functions in Musielak–Orlicz–Morrey spaces over bounded metric measure spaces. As a good example, we obtain Trudinger-type inequalities for double-phase functionals Φ ( x , t ) = t p ( x ) + a ( x ) t q ( x ) $\Phi (x,t) = t^{p(x)} + a(x) t^{q(x)}$ . As an application, we introduce M
-
Analysis on continuity of the solution map for the Whitham equation in Besov spaces Math. Nachr. (IF 1.0) Pub Date : 2023-11-05 Zhengyan Liu, Xinglong Wu
This paper is devoted to studying the continuity of the solution map for the Cauchy problem of the Whitham equation. First, the continuity dependence of solution is established in B 2 , r s $\mathrm{B}^{s}_{2,r}$ in the sense of Hadamard. Next, by constructing approximate solutions, we show that the data-to-solution map is not uniformly continuous in Besov spaces B 2 , r s $\mathrm{B}^{s}_{2,r}$ (