Semilinear wave equations of derivative type with characteristic weights in one space dimension
Analysis of PDEs
2023-01-23 v2
Abstract
In this paper, we investigate the lifespan estimates of classical solutions of the initial value problems for semilinear wave equations of derivative type with characteristic weights in one space dimension. Such equations provide us basic principles on extending the general theory for nonlinear wave equations to the non-autonomous case. In our results, two characteristic weights interact with each others and produce a different range of parameters on the global-in-time existence from the nonlinear terms of unknown function itself.
Keywords
Cite
@article{arxiv.2211.12295,
title = {Semilinear wave equations of derivative type with characteristic weights in one space dimension},
author = {Shunsuke Kitamura},
journal= {arXiv preprint arXiv:2211.12295},
year = {2023}
}
Comments
28 page, 3 figures. arXiv admin note: substantial text overlap with arXiv:2112.01015 In the case of low exponents of the nonlinear terms, the regularity of the solution is improved to the classical solution