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On the space-time analyticity of the inhomogeneous heat equation on the half space with Neumann boundary conditions Appl. Anal. (IF 1.1) Pub Date : 2024-03-15 Elie Abdo, Weinan Wang
We consider the inhomogeneous heat equation on the half-space R+d with Neumann boundary conditions. We prove a space-time Gevrey regularity of the solution, with a radius of analyticity uniform up ...
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A nonlinear elliptic system with a transport term and singular data Appl. Anal. (IF 1.1) Pub Date : 2024-03-07 Lucio Boccardo, Luigi Orsina, J. Ignacio Tello
We consider the nonlinear elliptic system {u∈W0NN−1(Ω):−div(M(x)∇u)+u=−div(uM(x)∇ψ)+f(x),ψ∈W01,2(Ω):−div(M(x)∇ψ)+ψ=R(u)+E(x)∇ψ, where Ω is a bounded, open subset of RN, N≥ 3; M(x) is a coercive, s...
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On the interaction between the viscoelasticity and the boundary variable-exponent nonlinearity in plate systems Appl. Anal. (IF 1.1) Pub Date : 2024-03-08 Muhammad I. Mustafa
In this paper, we consider a viscoelastic plate system with a boundary frictional damping having a variable exponent m(x). We investigate the competition between the two types of damping and their ...
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Spectral problems with perturbed Steklov conditions in thick junctions with branched structure Appl. Anal. (IF 1.1) Pub Date : 2024-03-05 Taras A. Mel'nyk, Tiziana Durante
The article examines spectral problems in a domain Ωε, which is the union of a domain Ω0 and a lot of thin trees that are ε-periodically situated along a manifold on the boundary of Ω0. The trees p...
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Asymptotic behaviors for the eigenvalues of the Schrödinger equation Appl. Anal. (IF 1.1) Pub Date : 2024-03-04 Siwar Saidani, Adel Jawahdou
We consider the Schrödinger operator in a bounded domain Rn(n=2,3) with Neumann boundary condition. We suppose that this domain contains small deformable inclusions, i.e. regions where the potentia...
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Synchronization phenomena in thermoelastic waves connected in parallel Appl. Anal. (IF 1.1) Pub Date : 2024-02-25 Mirelson M. Freitas, Mauricio S. Vinhote, Anderson J. A. Ramos, Cid T. S. Dos Reis
In this paper, the phenomenon of synchronization in nonlinearly coupled thermoelastic waves is investigated. The existence of a finite-dimensional smooth global attractor Aα is proven in the natura...
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Global dynamics of two-species reaction–diffusion competition model with Gompertz growth Appl. Anal. (IF 1.1) Pub Date : 2024-02-21 Yefen Yang, Li Ma, Banxiang Duan, Rong Zou
In this paper, we investigate a two-species reaction–diffusion competition model with Gompertz growth, where the intrinsic growth rates and carrying capacities of environments are heterogeneous. At...
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Constant sign and nodal solutions for singular Gierer–Meinhardt-type system Appl. Anal. (IF 1.1) Pub Date : 2024-02-21 Abdelkrim Moussaoui
We establish the existence of three solutions for singular semilinear elliptic system, two of which are of opposite constant sign. Under a strong singularity effect, the third solution is nodal wit...
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Uniform stability of a semilinear coupled Timoshenko beam and an elastodynamic system in an inhomogeneous medium Appl. Anal. (IF 1.1) Pub Date : 2024-02-19 Sabeur Mansouri
In this paper, we consider a semilinear coupled Timoshenko beam and an elastodynamic system posed in an inhomogeneous one-dimensional medium subject to localized damping mechanisms acting in the th...
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Exponential decay for the cubic Schrödinger equation on a dissipative waveguide Appl. Anal. (IF 1.1) Pub Date : 2024-02-18 Mohamed Malloug
We derive an exponential decay rate of energy for the cubic Schrödinger equation on a dissipative waveguide with a damping term that is effective locally on a neighborhood at the boundary and at in...
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Global well-posedness and scattering for the coupled NLS in critical spaces Appl. Anal. (IF 1.1) Pub Date : 2024-02-15 Mingming Deng, Ying Wang
In this paper, we mainly concern with the system of the coupled nonlinear Schrödinger equation with initial data in critical spaces in dimension 3. We first obtain the global well-posedness of the ...
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On a relaxation approximation of the 2-D incompressible magnetohydrodynamic equations Appl. Anal. (IF 1.1) Pub Date : 2024-02-12 Tuowei Chen, Yun Pu
We study the Cauchy problem of a 2-D hyperbolic relaxation system for the incompressible magnetohydrodynamic (MHD) equations, which is related with the scientific computational aspects. We prove th...
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Sufficient condition based on nearly optimal order RIC for IHT algorithm Appl. Anal. (IF 1.1) Pub Date : 2024-01-31 Liejun Xie, Jinping Wang
Iterative hard thresholding (IHT) is one class of sparse signal recovery algorithms widely used in compressed sensing. The well-known restricted isometry constant (RIC) is one of the most popular f...
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Hilbert expansion of Boltzmann equations for gas mixture Appl. Anal. (IF 1.1) Pub Date : 2024-01-28 Tianfang Wu, Xiongfeng Yang
The aim of this paper is to study the hydrodynamic limit of Boltzmann equations for a gas mixture containing two kinds of particles, where one is assumed to be near a vacuum and the other is near a...
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Classification of traveling waves to the generalized Camassa–Holm equation with dual-power nonlinearities Appl. Anal. (IF 1.1) Pub Date : 2024-01-25 Zhihong Li, Hao Tong, Shaojie Yang
In this paper, we mainly devote to investigate the classification of traveling waves to the generalized Camassa–Holm equation with dual-power nonlinearities. Utilizing the celebrated approach of cl...
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Local-in-space wave breaking criteria for a shallow water wave equation Appl. Anal. (IF 1.1) Pub Date : 2024-01-23 Honglin Xiao, Changtai Zhou, Shaoyong Lai
A shallow water wave equation including the famous Degasperis-Procesi model is considered. Firstly, the L2 conservation law for the equation is derived. Secondly, using the methods of transport equ...
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Uniform attractors for 3D MHD equations with nonlinear damping Appl. Anal. (IF 1.1) Pub Date : 2024-01-18 Xiaoya Song
The aim of this paper is to investigate the uniform attractors for 3D MHD equations with nonlinear damping. Some uniform estimates for strong solutions are established. Furthermore, we prove that 3...
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Uniform estimates for conforming Galerkin method for anisotropic singularly perturbed elliptic problems Appl. Anal. (IF 1.1) Pub Date : 2024-01-17 David Maltese, Chokri Ogabi
In this article, we study some anisotropic singular perturbations for a class of linear elliptic problems. A uniform estimates for conforming Q1 finite element method are derived, and some other re...
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Bloch-type theorems for meromorphic harmonic mappings Appl. Anal. (IF 1.1) Pub Date : 2024-01-14 Ming-Sheng Liu, Wen-Jie Luo, Saminathan Ponnusamy
In this paper, we first derive a Landau-type theorem and a Bloch-type theorem for the class of meromorphic harmonic mappings. Then we establish two new versions of Bloch-type theorems for certain K...
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Iterative approximation of common solution to variational inequality problems in Hadamard manifold Appl. Anal. (IF 1.1) Pub Date : 2024-01-14 Olawale K. Oyewole, Hammed A. Abass, Yekini Shehu
The aim of this paper is to introduce a forward-backward-forward algorithm with inertial extrapolation to solve the problem of finding a common solution to the variational inequality problem (CSVIP...
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Variational approaches to Dirichlet gradient-type systems on the Sierpiński gasket Appl. Anal. (IF 1.1) Pub Date : 2024-01-11 Zahra Ahmadi, Rahmatollah Lashkaripour, Shapour Heidarkhani, Anderson L. A. De Araujo
In this paper, we study the multiple solutions of parametric quasi-linear systems of the gradient-type on the Sierpiński gasket arising in physical problems leading to nonlinear models involving re...
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On anisotropic parabolic equation with nonstandard growth order Appl. Anal. (IF 1.1) Pub Date : 2024-01-09 Huashui Zhan
In this paper, the existence and the uniqueness of an evolutionary anisotropic pi(x)-Laplacian equation with a damping term are studied. If the damping term is with a subcritical index, by the Di G...
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Semi-analytic PINN methods for singularly perturbed boundary value problems Appl. Anal. (IF 1.1) Pub Date : 2024-01-08 Gung-Min Gie, Youngjoon Hong, Chang-Yeol Jung
In this paper, we propose a novel semi-analytic physics informed neural network (PINN) method for solving singularly perturbed boundary value problems. The PINN is a scientific machine learning fra...
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Relations between product and flag Triebel-Lizorkin spaces Appl. Anal. (IF 1.1) Pub Date : 2024-01-08 Yannan Cao, Der-Chen Chang, Xinfeng Wu
Nagel, Ricci and Stein proved that product kernels are finite sums of flag kernels in the Euclidean space. We show that the product Triebel-Lizorkin space is the intersection of two flag Triebel-Li...
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The existence of ground state normalized solution for Kirchhoff equation Appl. Anal. (IF 1.1) Pub Date : 2024-01-05 Qihan He, Zongyan Lv
In this paper, we study the existence of ground state solution for the following Kirchhoff equation with combined nonlinearities −(a+b∫RN|∇u|2)Δu=λu+|u|p−2u+μ|u|q−2uinRN,1≤N≤3 with prescribed mass...
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Numerical approximations of stochastic delay differential equations with delayed impulses Appl. Anal. (IF 1.1) Pub Date : 2024-01-04 Ky Quan Tran, Phan Trong Tien
This paper focuses on approximating stochastic delay differential equations with delayed impulses using Euler-Maruyama-type approximations. One key difference from previous literature is that the i...
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Second-order optimality conditions for the bilinear optimal control of a degenerate equation Appl. Anal. (IF 1.1) Pub Date : 2024-01-03 Cyrille Kenne, Landry Djomegne, Pascal Zongo
The main purpose of this paper is the study of second-order optimality conditions for the bilinear control of a strongly degenerate parabolic equation. The equation is degenerate at the boundary of...
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The shearlet transform and asymptotic behavior of Lizorkin distributions Appl. Anal. (IF 1.1) Pub Date : 2024-01-02 Astrit Ferizi, Katerina Hadzi-Velkova Saneva
In this paper, we establish Abelian and Tauberian results that characterize the quasiasymptotic behavior of Lizorkin distributions via the asymptotic behavior of their shearlet transform.
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Asymptotic distribution of the zeros of a certain family of generalized hypergeometric polynomials Appl. Anal. (IF 1.1) Pub Date : 2024-01-03 Jian-Rong Zhou, Heng Li, Yongzhi Xu
The primary aim of this paper is to investigate the asymptotic distribution of the zeros of certain classes of hypergeometric q+1Fq polynomials. We employ classical analytical techniques, including...
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Monotone iterative technique for delay elastic systems in ordered Banach space Appl. Anal. (IF 1.1) Pub Date : 2024-01-02 Haide Gou, He Yang
We research extremal S-asymptotically ω-periodic mild solutions to elastic systems by using upper and lower solutions. In our first result, it is assumed that the semigroup is compact. In addition,...
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On the absence of global weak solutions for a nonlinear time-fractional Schrödinger equation Appl. Anal. (IF 1.1) Pub Date : 2023-12-28 Munirah Alotaibi, Mohamed Jleli, Maria Alessandra Ragusa, Bessem Samet
In this paper, an initial value problem for a nonlinear time-fractional Schrödinger equation with a singular logarithmic potential term is investigated. The considered problem involves the left/for...
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Global solutions to the bipolar non-isentropic Euler-Maxwell system in the Besov framework Appl. Anal. (IF 1.1) Pub Date : 2023-12-27 Shiqiang Zhao, Kaijun Zhang
This paper investigates the bipolar non-isentropic compressible Euler-Maxwell system in R3 and T3. For both problems, we establish the global existence of smooth solutions in the general Besov spac...
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A study on a class of weighted elliptic problems with indefinite nonlinearities Appl. Anal. (IF 1.1) Pub Date : 2023-12-21 Abdolrahman Razani, Gustavo S. A. Costa, Giovany M. Figueiredo
In this work, we will study the existence of solutions for a class of problems involving the p-Laplacian operator with weight and a nonlinearity that changes sign in a domain Ω⊂RN with ∂Ω smooth an...
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Solutions for nonhomogeneous Kohn–Spencer Laplacian on Heisenberg group Appl. Anal. (IF 1.1) Pub Date : 2023-12-21 Abdolrahman Razani
In this paper, we study the existence of at least one bounded weak solution for Kohn–Spencer Laplacian with a weight depending on the solution and convection term of the form −divHn(ν(ξ,u)|DHnu|Hn...
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A modified Tseng's extragradient method for solving variational inequality problems Appl. Anal. (IF 1.1) Pub Date : 2023-12-12 Jian-Wen Peng, Ying-Ming Qiu, Yekini Shehu
In this paper, we introduce a modified Tseng's extragradient method with a new step-length rule to solve pseudo-monotone variational inequalities in real Hilbert spaces. Under suitable conditions, ...
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Saddle point least squares discretization for convection-diffusion Appl. Anal. (IF 1.1) Pub Date : 2023-12-11 Constantin Bacuta, Daniel Hayes, Tyler O'Grady
We consider a model convection-diffusion problem and present our recent analysis and numerical results regarding mixed finite element formulation and discretization in the singular perturbed case w...
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The stability of a class of 2D non-newtonian fluid equations with unbounded delays Appl. Anal. (IF 1.1) Pub Date : 2023-12-10 Guowei Liu, Luyan Yi, Caidi Zhao
We address the stability of stationary solutions to a class of 2D non-newtonian fluid equations, when the external force contains hereditary characteristics involving unbounded delays. Firstly, whe...
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Upscaling of a diffusion problem with flux jump in high contrast composites Appl. Anal. (IF 1.1) Pub Date : 2023-12-07 Renata Bunoiu, Claudia Timofte
We study a diffusion problem in a periodic fibered composite consisting of two materials with highly contrasting diffusion coefficients. An important feature of our problem is the existence of an i...
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Analysis of a delayed spatiotemporal model of HBV infection with logistic growth Appl. Anal. (IF 1.1) Pub Date : 2023-12-07 Séverin Foko, Calvin Tadmon
In this paper, following previous works of ours, we deal with a mathematical model of hepatitis B virus (HBV) infection. We assume spatial diffusion of free HBV particles, logistic growth for both ...
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The backward problem for time-fractional evolution equations Appl. Anal. (IF 1.1) Pub Date : 2023-12-04 S. E. Chorfi, L. Maniar, M. Yamamoto
In this paper, we consider the backward problem for fractional in time evolution equations ∂tαu(t)=Au(t) with the Caputo derivative of order 0<α≤1, where A is a self-adjoint and bounded above opera...
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The local Borg-Marchenko uniqueness theorem for matrix-valued Schrödinger operators with locally smooth at the right endpoint potentials Appl. Anal. (IF 1.1) Pub Date : 2023-12-04 Tiezheng Li, Guangsheng Wei
We present a new expression for the Weyl-Titchmarsh matrix-valued function of a self-adjoint matrix-valued Schrödinger operator defined on the interval [0,b), where 0
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Maxwell operator in a cylinder Appl. Anal. (IF 1.1) Pub Date : 2023-11-21 N. D. Filonov
The Maxwell operator in a 3D cylinder is considered. The coefficients are assumed to be scalar functions depending on the longitudinal variable only. Such an operator is represented as a sum of a c...
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Numerical treatment of time-fractional sub-diffusion equation using p-fractional linear multistep methods Appl. Anal. (IF 1.1) Pub Date : 2023-11-17 Nayier Jangi Bahador, Safar Irandoust-Pakchin, Somaiyeh Abdi-Mazraeh
In this paper, a kind of the differential equation including a time-fractional sub-diffusion equation is considered. Through this memorandum, a well-known technique, in the time direction is adopte...
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Nonexistence of periodic peakon and peakon for a highly nonlinear shallow-water model Appl. Anal. (IF 1.1) Pub Date : 2023-11-15 Yu Liu, Xingxing Liu
In this paper, we investigate the nonexistence of the periodic peakon and peakon for a highly nonlinear shallow-water model, which has been recently derived from the full governing equations for tw...
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Analysis of a reaction–diffusion dengue model with vector bias on a growing domain Appl. Anal. (IF 1.1) Pub Date : 2023-11-14 Jinliang Wang, Hao Qu, Desheng Ji
In this paper, we consider a reaction–diffusion dengue model on a varying domain that monotonically increases in time and gradually approaches saturation arising from environmental change. By the u...
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Anisotropic parabolic-elliptic systems with degenerate thermal conductivity Appl. Anal. (IF 1.1) Pub Date : 2023-11-11 H. Khelifi
In this paper, we investigate the existence and regularity of a capacity solution for a coupled nonlinear anisotropic parabolic-elliptic system, where the elliptic component of the parabolic equati...
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Reciprocity gap functional for potentials/sources with small-volume support for two elliptic equations Appl. Anal. (IF 1.1) Pub Date : 2023-11-08 Govanni Granados, Isaac Harris
In this paper, we consider inverse shape problems coming from diffuse optical tomography and the Helmholtz equation. In both problems, our goal is to reconstruct small volume interior regions from ...
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A singular Adams' inequality with logarithmic weights and applications Appl. Anal. (IF 1.1) Pub Date : 2023-11-08 Shiqi Zhang
In this paper, we consider a singular Adams' inequality with logarithmic weights in the unit ball of R4. Our results extend the results of Zhu and Wang [Adams' inequality with logarithmic weights i...
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Global well-posedness and large-time behavior of solutions to the 3D inviscid magneto-micropolar equations with damping Appl. Anal. (IF 1.1) Pub Date : 2023-10-21 Xinliang Li, Dandan Ding
We first establish the existence of global strong solutions to the 3D inviscid incompressible magneto-micropolar equations with a velocity damping in Sobolev spaces HK(K⩾3), where the H3 norm of in...
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The critical Choquard equations with a Kirchhoff type perturbation in bounded domains Appl. Anal. (IF 1.1) Pub Date : 2023-10-19 Xueliang Duan, Xiaofan Wu, Gongming Wei, Haitao Yang
This paper deals with the following critical Choquard equation with a Kirchhoff type perturbation in bounded domains, {−(1+b‖u‖2)Δu=(∫Ωu2(y)|x−y|4dy)u+λuinΩ,u=0on∂Ω, where Ω⊂RN(N≥5) is a smooth bo...
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Inertial subgradient extragradient method for solving pseudomonotone variational inequality problems in Banach spaces Appl. Anal. (IF 1.1) Pub Date : 2023-10-21 Zai-Yun Peng, Zhi-Ying Peng, Gang Cai, Gao-Xi Li
In this paper, an inertial subgradient extragradient algorithm is proposed to solve the pseudomonotone variational inequality problems in Banach space. This iterative scheme employs a new line-sear...
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An inverse problem for a generalized FitzHugh–Nagumo type system Appl. Anal. (IF 1.1) Pub Date : 2023-10-22 Laure Cardoulis, Michel Cristofol
In this article we consider the inverse problem of simultaneously determining three coefficients of a FitzHugh–Nagumo type system defined in a bounded domain. We use a Carleman estimate to establis...
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Global well-posedness for nonhomogeneous magnetic Bénard system Appl. Anal. (IF 1.1) Pub Date : 2023-10-21 Xin Zhong
We establish the global existence and uniqueness of strong solutions for nonhomogeneous magnetic Bénard system with far field vacuum in the whole two-dimensional (2D) plane. In particular, the init...
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On initial-boundary value problem for the Burgers equation in nonlinearly degenerating domain Appl. Anal. (IF 1.1) Pub Date : 2023-10-18 M. T. Jenaliyev, M. G. Yergaliyev
In this paper, we study the solvability of one initial-boundary value problem for the Burgers equation with periodic boundary conditions in a nonlinearly degenerating domain. In this paper, we foun...
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Semidiscrete numerical approximation for dynamic hemivariational inequalities with history-dependent operators Appl. Anal. (IF 1.1) Pub Date : 2023-10-19 Yujie Li, Xiaoliang Cheng, Hailing Xuan
In this paper, we are concerned with a class of second-order hemivariational inequalities involving history-dependent operators. For the problem, we first derive a semidiscrete scheme by implicit E...
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Dynamical analysis on stochastic two-species models Appl. Anal. (IF 1.1) Pub Date : 2023-10-16 Guangbin Wang, Jingliang Lv, Xiaoling Zou
In this paper, we study three stochastic two-species models. We construct the stochastic models corresponding to its deterministic model by introducing stochastic noise into the equations. For the ...
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Decay estimates of the 3D magneto-micropolar system with applications to L3-strong solutions Appl. Anal. (IF 1.1) Pub Date : 2023-10-18 Xiuping Ye, Xueyun Lin
In this paper, we investigate the well-posedness and large time behavior of solutions to the 3D incompressible magneto-micropolar equations. By virtue of the Lp−Lq estimate obtained through the spe...
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Multiplicity of solutions for a critical nonlinear Schrödinger–Kirchhoff-type equation Appl. Anal. (IF 1.1) Pub Date : 2023-10-18 Jianjun Nie, Quanqing Li
In this paper, we study the following critical nonlinear Schrödinger–Kirchhoff equation: ($P$) {−(a+b∫RN|∇u|2dx)Δu+V(x)u=P(x)|u|2∗−2u+μ|u|q−2u, in RN,u∈H1(RN) where a,b,μ>0, N≥3, max{2∗−1,2}
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A convergence criterion for elliptic variational inequalities Appl. Anal. (IF 1.1) Pub Date : 2023-10-16 Claudia Gariboldi, Anna Ochal, Mircea Sofonea, Domingo A. Tarzia
We consider an elliptic variational inequality with unilateral constraints in a Hilbert space X which, under appropriate assumptions on the data, has a unique solution u. We formulate a convergence...
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Existence and non-existence of minimizers for Hardy-Sobolev type inequality with Hardy potentials Appl. Anal. (IF 1.1) Pub Date : 2023-10-13 Jann-Long Chern, Masato Hashizume, Gyeongha Hwang
Motivated by the Hardy-Sobolev inequality with multiple Hardy potentials, we consider the following minimization problem : inf{|u|2s∗|x|s∫Ω|∇u|2dx−λ1∫Ωu2|x−P1|2dx−λ2∫Ωu2|x−P2|2dx|u∈H01(Ω),∫Ω|u|2s∗...