The influence of oscillations on global existence for a class of semi-linear wave equations

DOI10.1002/mma.1430zbMath1225.35148OpenAlexW2136502260MaRDI QIDQ5199423

Michael Reissig, Marcelo Rempel Ebert

Publication date: 16 August 2011

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1430

zbMATH Keywords

semilinear wave equationCauchy problemglobal solutionsmall data

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items (3)

A class of dissipative wave equations with time-dependent speed and damping ⋮ On the asymptotic behavior of the energy for evolution models with oscillating time-dependent damping ⋮ Hyperbolic-like estimates for higher order equations

Cites Work

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• Parameteric resonance and nonexistence of the global solution to nonlinear wave equations

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