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Global existence and decay estimates for nonlinear wave equations with space-time dependent dissipative term

Global existence and decay estimates for nonlinear wave equations with space-time dependent dissipative term

We study the global existence and the derivation of decay estimates for nonlinear wave equations with a space-time dependent dissipative term posed in an exterior domain. The linear dissipative effect may vanish in a compact space region and, moreover, the nonlinear terms need not be in a divergence form. In …