Blow-up of Solution to a Wave Equation with Damping Term and Memory Terms
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Graphical Abstract
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Abstract
This paper is devoted to studying the initial boundary value problem for a wave equation with scattering damping term and combined memory terms on exterior domain. Blow-up of solution in finite time to the problem in different dimensions are proved under certain assumptions for the exponents p and q in nonlinear terms. In addition, upper bound lifespan estimates of solution in polynomial form are established by taking advantage of test function technique and iteration method.
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