Strichartz estimates for the Klein--Gordon equation in $\mathbb{R}^{3+1}$
Analysis of PDEs
2023-02-08 v1 Classical Analysis and ODEs
Abstract
In this paper we prove standard and reversed Strichartz estimates for the Klein--Gordon equation in . Instead of the Fourier theory, our analysis is based on fundamental solutions of the free equations and fractional integrations. In the final part of this paper, we apply Strichartz estimates in the study of a semilinear Klein--Gordon equation.
Keywords
Cite
@article{arxiv.2108.06390,
title = {Strichartz estimates for the Klein--Gordon equation in $\mathbb{R}^{3+1}$},
author = {Marius Beceanu and Gong Chen},
journal= {arXiv preprint arXiv:2108.06390},
year = {2023}
}
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39 pages