Global existence and blow-up for semilinear damped wave equations in three space dimensions
Analysis of PDEs
2018-12-18 v3
Abstract
We consider initial value problem for semilinear damped wave equations in three space dimensions. We show the small data global existence for the problem without the spherically symmetric assumption and obtain the sharp lifespan of the solutions. This paper is devoted to a proof of the Takamura's conjecture on the lifespan of solutions.
Keywords
Cite
@article{arxiv.1807.04327,
title = {Global existence and blow-up for semilinear damped wave equations in three space dimensions},
author = {Masakazu Kato and Miku Sakuraba},
journal= {arXiv preprint arXiv:1807.04327},
year = {2018}
}
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22 pages