A unique continuation principle and weak asymptotic behaviour of solutions to semilinear wave equations in exterior domains

DOI10.1016/0893-9659(90)90066-KzbMath0713.35014MaRDI QIDQ749755

Reinhard Racke

Publication date: 1990

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

zbMATH Keywords

exterior domainsnonlinear wave equationsunique continuation principle

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Continuation and prolongation of solutions to PDEs (35B60)

Cites Work

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• Stabilization of trajectories for some weakly damped hyperbolic equations
• On the asymptotic behavior of generalized processes, with applications to nonlinear evolution equations
• Feedback stabilization of distributed semilinear control systems
• Weak asymptotic decay via a “relaxed invariance principle” for a wave equation with nonlinear, non-monotone damping
• Convergence of solution to nonlinear dispersive equations
• Uniform Asymptotic Estimates for Wave Packets in the Quantum Theory of Scattering

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