Remarks on the decay of the local energy for semilinear wave equation

DOI10.1016/j.aml.2010.04.014zbMath1197.35048OpenAlexW1964885960MaRDI QIDQ979177

Ahmed Bchatnia

Publication date: 25 June 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.04.014

zbMATH Keywords

semilinear wave equationsmall datalocal energy decayglobal well posedness

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order semilinear hyperbolic equations (35L71)

Related Items (2)

Survey on the Decay of the Local Energy for the Solutions of the Nonlinear Wave Equation ⋮ Exponential decay of the local energy for the solutions of critical wave equations outside a convex obstacle

Cites Work

• Unnamed Item
• Scattering for semilinear wave equations with small data in three space dimensions
• Superexponential decay of solutions of a semilinear wave equation
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Decay and asymptotics for \(\square u = F(u)\)
• Time decay for the nonlinear Klein-Gordon equation

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