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VOL. 81 | 2019 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

Editor(s) Keiichi Kato, Takayoshi Ogawa, Tohru Ozawa

Abstract

This paper is devoted to a proof of the conjecture in Takamura [16] 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.

Information

Published: 1 January 2019
First available in Project Euclid: 31 October 2019

zbMATH: 07176815

Digital Object Identifier: 10.2969/aspm/08110031

Subjects:
Primary: 35A01, 35E15, 35L71

Rights: Copyright © 2019 Mathematical Society of Japan

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