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The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions (1610.05913v2)
Published 19 Oct 2016 in math.AP
Abstract: This paper is devoted to a proof of the conjecture in Takamura(2015) on the lower bound of the lifespan of solutions to semilinear wave equations in two space dimensions. The result is divided into two cases according to the total integral of the initial speed.