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arxiv: 1905.07782 · v1 · pith:VQB5NYK4new · submitted 2019-05-19 · 🧮 math.AP

Finite time blow up for wave equations with strong damping in an exterior domain

classification 🧮 math.AP
keywords domainequationsexteriorinitialwaveblowblow-upboundary
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We consider the initial boundary value problem in exterior domain for strongly damped wave equations with power type nonlinearity |u|^p. We will establish blow-up results under some conditions on the initial data and the exponent p.

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