Asymptotic profiles for a wave equation with parameter‐dependent logarithmic damping

DOI10.1002/MMA.7671zbMath1479.35089arXiv2009.06395OpenAlexW3184815660MaRDI QIDQ5015640

Ryo Ikehata, Ruy Coimbra Charão, Marcello D'Abbicco

Publication date: 9 December 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.06395

zbMATH Keywords

asymptotic profilesnonlocal wave equationlogarithmic \(\theta\) dampingoptimal \(L^2\) and energy decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Pseudodifferential operators as generalizations of partial differential operators (35S05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for second-order hyperbolic equations (35L15) Integro-partial differential equations (35R09)

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A dissipative logarithmic-Laplacian type of plate equation: asymptotic profile and decay rates ⋮ Logarithmic counterpart for semilinear Schrödinger equations ⋮ Strongly damped wave equations with mass-like terms of the logarithmic-Laplacian ⋮ Wave equations with a damping term degenerating near low and high frequency regions ⋮ A well-posed logarithmic counterpart of an ill-posed Cauchy problem ⋮ Double diffusion structure of logarithmically damped wave equations with a small parameter ⋮ Decay properties and asymptotic behaviors for a wave equation with general strong damping

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