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A unique continuation principle and weak asymptotic behaviour of solutions to semilinear wave equations in exterior domains. (English) Zbl 0713.35014
Summary: We prove a unique continuation principle for solutions of the wave equation and results on the weak \(\omega\)-limit set of solutions to nonlinear wave equations with nonmonotone damping in exterior domains.
MSC:
35B60 Continuation and prolongation of solutions to PDEs
35L05 Wave equation
35L70 Second-order nonlinear hyperbolic equations
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