Wave-like blow-up for semilinear wave equations with scattering damping and negative mass term
Analysis of PDEs
2021-01-19 v3
Abstract
In this paper we establish blow-up results and lifespan estimates for semilinear wave equations with scattering damping and negative mass term for subcritical power, which is the same as that of the corresponding problem without mass term, and also the same as that of the corresponding problem without both damping and mass term. For this purpose, we have to use the comparison argument twice, due to the damping and mass term, in additional to a key multiplier. Finally, we get the desired results by an iteration argument.
Cite
@article{arxiv.1804.11073,
title = {Wave-like blow-up for semilinear wave equations with scattering damping and negative mass term},
author = {Ning-An Lai and Nico Michele Schiavone and Hiroyuki Takamura},
journal= {arXiv preprint arXiv:1804.11073},
year = {2021}
}
Comments
20 pages. The last equation in Introduction of the first version has a typo. Its was trivial but revised. "mass" in the title of the second version is replaced with "mass term"