Quantitative trace estimates for the Maxwell system in Lipschitz domains
Department
Mathematics
Document Type
Article
Publication Date
9-15-2021
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 Calderón 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.
Journal Title
Mathematical Methods in the Applied Sciences
Journal ISSN
01704214
Volume
44
Issue
13
First Page
10635
Last Page
10652
Digital Object Identifier (DOI)
10.1002/mma.7434
COinS