The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions

Hiroyuki Takamura; Kyouhei Wakasa; Masakazu Kato; Takuto Imai

arxiv: 1610.05913 · v2 · pith:V3XZJBRLnew · submitted 2016-10-19 · 🧮 math.AP

The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions

Takuto Imai , Masakazu Kato , Hiroyuki Takamura , Kyouhei Wakasa This is my paper

classification 🧮 math.AP

keywords bounddimensionsequationslifespanlowersemilinearsolutionsspace

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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.

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The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions

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