Superexponential decay of solutions of a semilinear wave equation

DOI10.1016/0022-1236(79)90006-5zbMath0403.35066OpenAlexW1988300985MaRDI QIDQ1256127

Jeng-Eng Lin

Publication date: 1979

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(79)90006-5

zbMATH Keywords

Initial Value ProblemNon- Linear Hyperbolic EquationSmooth SolutionSuperexponential Decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60)

Related Items (4)

Decay of the local energy for the solutions of the critical Klein-Gordon equation ⋮ 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 ⋮ Remarks on the decay of the local energy for semilinear wave equation

Cites Work

• Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
• Decay and asymptotics for \(\square u = F(u)\)
• Non-linear semi-groups
• Dispersal of waves vanishing on the boundary of an exterior domain
• Time decay for the nonlinear Klein-Gordon equation
• Exponential decay of solutions of the wave equation
• Decay and scattering of solutions of a nonlinear relativistic wave equation
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