Blow-up results for effectively damped wave models with nonlinear memory

DOI10.3934/cpaa.2020239zbMath1500.35060OpenAlexW3082663677MaRDI QIDQ2089836

Tayeb Hadj Kaddour, Michael Reissig

Publication date: 24 October 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2020239

zbMATH Keywords

Cauchy problemblow-updamped wave equationenergy solutionstest function methodnonlinear memoryeffective damping

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44)

Related Items (2)

Semilinear effectively damped wave models with general relaxation function ⋮ A competition on blow-up for semilinear wave equations with scale-invariant damping and nonlinear memory term

Cites Work

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• Semi-linear wave equations with effective damping
• Critical exponent for damped wave equations with nonlinear memory
• Wave equations with time-dependent dissipation. II: Effective dissipation
• Weakly coupled systems of semilinear effectively damped waves with time-dependent coefficient, different power nonlinearities and different regularity of the data
• Finite time blow-up for damped wave equations with space-time dependent potential and nonlinear memory
• An equation whose Fujita critical exponent is not given by scaling
• The influence of a nonlinear memory on the damped wave equation

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