English

Global Strichartz estimates for an inhomogeneous Maxwell system

Analysis of PDEs 2021-07-01 v1

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 x|x|\to\infty and a non-trapping condition. The proof is based on smoothing estimates in weighted L2L^2 spaces which follow from corresponding resolvent estimates for the underlying Helmholtz problem.

Keywords

Cite

@article{arxiv.2106.16164,
  title  = {Global Strichartz estimates for an inhomogeneous Maxwell system},
  author = {Piero D'Ancona and Roland Schnaubelt},
  journal= {arXiv preprint arXiv:2106.16164},
  year   = {2021}
}
R2 v1 2026-06-24T03:46:21.950Z