Remarks on asymptotic order for the linear wave equation with the scale-invariant damping and mass with 𝐿^{𝑟}-data

DOI10.1090/PROC/15481zbMath1473.35352arXiv2005.01335OpenAlexW3130968752MaRDI QIDQ4992931

Takahisa Inui, Haruya Mizutani

Publication date: 10 June 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.01335

zbMATH Keywords

Sobolev solutionsscale invariant damping termscale invariant mass term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15) Scattering theory of linear operators (47A40)

Related Items (1)

Advection versus diffusion in Richtmyer-Meshkov mixing

Cites Work

• A scale-invariant Klein-Gordon model with time-dependent potential
• Wave equations with time-dependent dissipation. I: Non-effective dissipation
• Wave equations with time-dependent dissipation. II: Effective dissipation
• Scattering and modified scattering for abstract wave equations with time-dependent dissipation
• Rapid decay of the total energy for dissipative wave equations
• Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass
• Wave equations with mass and dissipation
• Solution representations for a wave equation with weak dissipation
• The threshold of effective damping for semilinear wave equations
• Semi‐linear wave models with power non‐linearity and scale‐invariant time‐dependent mass and dissipation

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