当前位置: X-MOL 学术Asymptot. Anal. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
A note on optimal L2-estimates of solutions to some strongly damped σ-evolution equations
Asymptotic Analysis ( IF 1.1 ) Pub Date : 2020-12-02 , DOI: 10.3233/asy-191595
Ryo Ikehata 1
Affiliation  

We consider the Cauchy problem in Rn for the so-called σ-evolution equations with damping terms. We derive asymptotic profiles of solutions with weighted L1,1(Rn) initial data, and investigates the optimality of estimates of solutions in L2-sense. The obtained results will generalize and compensatethose already known in (J. Math. Anal. Appl. 478 (2019) 476–498, J. Diff. Eqns 257 (2014) 2159–2177, Diff. Int. Eqns 30 (2017), 505–520).

中文翻译:

关于一些强阻尼σ演化方程解的最优L2估计的注记

对于带阻尼项的所谓σ演化方程,我们考虑Rn中的柯西问题。我们导出具有加权L1,1(Rn)初始数据的解的渐近曲线,并研究L2感中解的估计的最优性。获得的结果将概括并补偿(J.Math.Anal.Appl.478(2019)476-498,J.Diff.Eqns 257(2014)2159-2177,Diff.Int.Eqns 30(2017), 505–520)。
更新日期:2020-12-04
down
wechat
bug