Global well-posedness for effectively damped wave models with nonlinear memory

DOI10.3934/cpaa.2021057zbMath1466.35264OpenAlexW3141487545MaRDI QIDQ2032135

Tayeb Hadj Kaddour, Michael Reissig

Publication date: 16 June 2021

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

Full work available at URL: https://doi.org/10.3934/cpaa.2021057

zbMATH Keywords

energy solutionsSobolev solutionseffective dissipation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)

Related Items

Semilinear effectively damped wave models with general relaxation function ⋮ Global existence for time-dependent damped wave equations with nonlinear memory ⋮ A competition on blow-up for semilinear wave equations with scale-invariant damping and nonlinear memory term ⋮ Continuous dependence and general decay of solutions for a wave equation with a nonlinear memory term.

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