Non-resonance for a strongly dissipative wave equation in higher dimensions

DOI10.1007/BF01174015zbMath0587.35063OpenAlexW2005707205MaRDI QIDQ1072012

Alain Haraux

Publication date: 1985

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155093

zbMATH Keywords

first initial-boundary value problemalmost periodic casenon-resonance dimensionsnonlinear dissipative hyperbolic equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05)

Related Items (9)

Global and periodic solutions for nonlinear wave equations with some localized nonlinear dissipation ⋮ On classical almost-periodic solutions of nonlinear hyperbolic equations ⋮ On solutions of the wave equation with a sublinear dissipative term ⋮ On the decay of solutions of some nonlinear dissipative wave equations in higher dimensions ⋮ Weakly damped quasilinear wave equation: existence of time-periodic solutions ⋮ Local and global smoothing effects for some linear hyperbolic equations with a strong dissipation ⋮ Anti-periodic solutions of some nonlinear evolution equations ⋮ A remark on hölder continuity of periodic solutions to some nonlinear wave equations ⋮ On some regularity of periodic solutions of the wave equation with a nonlinear or degenerate dissipative term

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• Dissipativity in the sense of Levinson for a class of second—order nonlinear evolution equations
• The solution by iteration of nonlinear functional equations in Banach spaces
• Soluzioni periodiche di equazioni a derivate parziali di tipo iperbolico non lineari

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