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

Imai, Takuto; Kato, Masakazu; Takamura, Hiroyuki; Wakasa, Kyouhei

doi:10.2969/aspm/08110031

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

Adv. Stud. Pure Math., 2019: 31-53 (2019) DOI: 10.2969/aspm/08110031

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.