Semilinear wave equations of derivative type with spatial weights in one space dimension
Analysis of PDEs
2023-03-24 v3
Abstract
This paper is devoted to the initial value problems for semilinear wave equations of derivative type with spatial weights in one space dimension. The lifespan estimates of classical solutions are quite different from those for nonlinearity of unknown function itself as the global-in-time existence can be established by spatial decay.
Keywords
Cite
@article{arxiv.2112.01015,
title = {Semilinear wave equations of derivative type with spatial weights in one space dimension},
author = {Shunsuke Kitamura and Katsuaki Morisawa and Hiroyuki Takamura},
journal= {arXiv preprint arXiv:2112.01015},
year = {2023}
}
Comments
16 pages. This is the accepted version to Nonlinear Analysis, RWA