Quantitative Trace Estimates for the Maxwell system in Lipschitz Domains
Analysis of PDEs
2021-07-28 v1
Abstract
We develop various quantitative estimates for the anisotropic Maxwell system in Lipschitz domains, with a focus on how the estimates precisely depend on the Lipschitz character of the domain. We pay special attention to trace operators and extension operators over certain Sobolev spaces. Finally, we provide a weak formulation of the interior scattering problem in terms of the exterior Calder\'on operator, and provide explicit bounds for the solution of the interior problem in terms of the incident fields and the Lipschitz character of the domain.
Keywords
Cite
@article{arxiv.2010.01159,
title = {Quantitative Trace Estimates for the Maxwell system in Lipschitz Domains},
author = {Eric Stachura and Niklas Wellander},
journal= {arXiv preprint arXiv:2010.01159},
year = {2021}
}