Asymptotically self-similar global solutions of a damped wave equation with nonlinear memory

DOI10.3233/ASY-2012-1147zbMath1282.35054OpenAlexW1713057119MaRDI QIDQ2852327

Mohamed Berbiche

Publication date: 8 October 2013

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-2012-1147

zbMATH Keywords

small initial data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15) Semilinear parabolic equations (35K58) Self-similar solutions to PDEs (35C06) Integro-partial differential equations (35R09)

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Blow-up result for a semilinear wave equation with a nonlinear memory term ⋮ A competition on blow-up for semilinear wave equations with scale-invariant damping and nonlinear memory term ⋮ Global Small data Solutions for a system of semilinear heat equations and the corresponding system of damped wave equations with nonlinear memory ⋮ On the nonexistence of global solutions for wave equations with double damping terms and nonlinear memory

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