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.
An elementary proof of global existence for nonlinear wave equations in an exterior domain
The Fredholm alternative for the $p$-Laplacian in exterior domains
Some elliptic problems involving the gradient on general bounded and exterior domains
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