The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions
arXiv:1610.05913
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.
23 pages. We submit the accepted version in "Asymptotic Analysis for Nonlinear Dispersive and Wave Equations" that has fixed many typos