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Sharp lifespan estimates of blowup solutions to semilinear wave equations with time-dependent effective damping (1808.06189v2)
Published 19 Aug 2018 in math.AP
Abstract: We consider the initial value problem for the semilinear wave equation with time-dependent effective damping. The interest is the behavior of lifespan of solutions in view of the asymptotic profile of the damping as $t\to \infty$. The result of this paper is the sharp lifespan estimates of blowup solutions for general time-dependent damping including threshold cases between effective and overdamping.