Strichartz estimates for Maxwell equations in media: the structured case in two dimensions-Reference-Cited by-同舟云学术

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

Published:2023-09-01 Issue:4 Volume:121 Page:425-436
ISSN:0003-889X
Container-title:Archiv der Mathematik
language:en
Short-container-title:Arch. Math.

Author:

Schippa Robert,Schnaubelt Roland^ORCID

Abstract

AbstractWe 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

$$C^1$$

C 1 -coefficients. In the charge-free case, we recover Strichartz estimates local-in-time for Euclidean wave equations in two dimensions up to endpoints.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00013-023-01898-3.pdf

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1. Strichartz estimates for Maxwell equations in media: the structured case in two dimensions;Archiv der Mathematik;2023-09-01