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On extended lifespan for 1d damped wave equation
Published 28 Dec 2022 in math.AP | (2212.13845v1)
Abstract: In this manuscript, a sharp lifespan estimate of solutions to semilinear classical damped wave equation is investigated in one dimensional case, when the sum of initial position and speed is $0$ pointwisely. Especially, an extension of lifespan is shown in this case. Moreover, existence of some global solutions are obtained by a direct computation.
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