Strichartz estimates for Maxwell equations in media: the structured case in two dimensions

被引：0
作者：
Robert Schippa
Roland Schnaubelt
机构：
[1] Karlsruhe Institute of Technology,Department of Mathematics
[2] Korea Institute for Advanced Study,School of Mathematics
来源：
Archiv der Mathematik | 2023年 / 121卷
关键词：
Maxwell system; Strichartz estimates; Lipschitz coefficients; 35Q61; 35B65; 42B37;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove Strichartz estimates for the two dimensional Maxwell equations with diagonal Lipschitz permittivity of special structure. The estimates have no loss in regularity that occurs in general for C1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^1$$\end{document}-coefficients. In the charge-free case, we recover Strichartz estimates local-in-time for Euclidean wave equations in two dimensions up to endpoints.
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页码：425 / 436
页数：11
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