Decay on expanding spheres as \(t\to +\infty\) of the solutions of semilinear wave equations

DOI10.1007/BF01766159zbMath0685.35018MaRDI QIDQ1826024

Gustavo Perla Menzala

Publication date: 1988

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

exponential decaysemilinear wave equationsfinite energy solutionsbounded total energy

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70)

Cites Work

• The global Cauchy problem for the nonlinear Klein-Gordon equation
• Self-spreading and strength of singularities for solutions to semilinear wave equations
• Local decay of solutions of the wave equation in the exterior of a moving body
• Local exponential decay of a group of conservative nonlinear operators
• Time decay for the nonlinear Klein-Gordon equation
• Exponential decay of solutions of the wave equation
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