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A dissipative logarithmic-type evolution equation: Asymptotic profile and optimal estimates

  • Published:2022-02 Issue:1 Volume:506 Page:125587
  • ISSN:0022-247X
  • Container-title:Journal of Mathematical Analysis and Applications
  • language:en
  • Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Coimbra Charão RuyORCID,Piske AlessandraORCID,Ikehata Ryo

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference35 articles.

1. Asymptotic expansion of the L2-norm of a solution of the strongly damped wave equation;Barrera,2017

2. Asymptotic expansion of the L2-norm of a solution of the strongly damped wave equation;Barrera;J. Differ. Equ.,2019

3. Asymptotic expansion of the L2-norm of a solution of the strongly damped wave equation in space dimension 1 and 2;Barrera;Asymptot. Anal.,2021

4. Asymptotic profile for a wave equation with parameter dependent logarithmic damping;Charão;Math. Meth. Appl. Sci.,2021

5. A second order fractional differential equation under effects of a super damping;Charão;Commun. Pure Appl. Anal.,2020

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1. The fractional logarithmic Schrödinger operator: properties and functional spaces;Journal of Pseudo-Differential Operators and Applications;2024-07-24

2. Asymptotic profile of $L^{2}$-norm of solutions for wave equations with critical log-damping;Differential and Integral Equations;2024-05-01

3. Wave equations with a damping term degenerating near low and high frequency regions;Journal of Pseudo-Differential Operators and Applications;2024-03-14

4. Strongly damped wave equations with mass-like terms of the logarithmic-Laplacian;Journal of Mathematical Analysis and Applications;2024-02

5. A Well-Posed Logarithmic Counterpart of an Ill-Posed Cauchy Problem;Bulletin of the Brazilian Mathematical Society, New Series;2023-02-25
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