Kunio Hidano, Chengbo Wang, Kazuyoshi Yokoyama
Published 2014-07-24, updated 2015-07-21Version 2
This paper investigates the combined effects of two distinctive power-type nonlinear terms (with parameters $p,q>1$) in the lifespan of small solutions to semi-linear wave equations. We determine the full region of $(p,q)$ to admit global existence of small solutions, at least for spatial dimensions $n=2, 3$. Moreover, for many $(p,q)$ when there is no global existence, we obtain sharp lower bound of the lifespan, which is of the same order as the upper bound of the lifespan.
Comments: Substantially revised and expanded. 22 pages, 5 figures
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