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Blow-up of solution to semilinear wave equations with strong damping and scattering damping

Blow-up of solution to semilinear wave equations with strong damping and scattering damping

Abstract This paper is devoted to investigating the initial boundary value problem for a semilinear wave equation with strong damping and scattering damping on an exterior domain. By introducing suitable multipliers and applying the test-function technique together with an iteration method, we derive the blow-up dynamics and an upper-bound lifespan …