Strichartz estimates for Maxwell equations in media: The partially anisotropic case
Analysis of PDEs
2022-08-09 v2
Abstract
We prove Strichartz estimates for solutions to Maxwell equations in three dimensions with rough permittivities, which have less than three different eigenvalues. To this end, Maxwell equations are conjugated to half-wave equations in phase space. We use the Strichartz estimates in a known combination with energy estimates to show the new well-posedness results for quasilinear Maxwell equations.
Keywords
Cite
@article{arxiv.2108.07691,
title = {Strichartz estimates for Maxwell equations in media: The partially anisotropic case},
author = {Robert Schippa},
journal= {arXiv preprint arXiv:2108.07691},
year = {2022}
}
Comments
47 pages, major revision