Global Strichartz estimates for an inhomogeneous Maxwell system

IF 2.1 2区数学 Q1 MATHEMATICS

Communications in Partial Differential Equations Pub Date : 2021-06-30 DOI:10.1080/03605302.2021.1998910

P. D’Ancona, R. Schnaubelt

引用次数: 4

Abstract

Abstract We show global-in-time Strichartz estimates for the isotropic Maxwell system with divergence free data. On the scalar permittivity and permeability we impose decay assumptions as and a non-trapping condition. The proof is based on smoothing estimates in weighted L 2 spaces which follow from corresponding resolvent estimates for the underlying Helmholtz problem.

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非均匀Maxwell系统的全局Strichartz估计

摘要我们给出了各向同性麦克斯韦系统在无散度数据下的全局时Strichartz估计。在标量介电常数和磁导率上，我们将衰减假设作为非俘获条件。该证明基于加权L2空间中的平滑估计，该估计来自于潜在亥姆霍兹问题的相应预解估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Partial Differential Equations 数学-数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to other areas of mathematics. Suitability of any paper is at the discretion of the editors. We seek to present the most significant advances in this central field to a wide readership which includes researchers and graduate students in mathematics and the more mathematical aspects of physics and engineering.