VECTOR POTENTIAL-THEORY ON NONSMOOTH DOMAINS IN R-3 AND APPLICATIONS TO ELECTROMAGNETIC SCATTERING

Authors
MITREA D MITREA M PIPHER J
Citation
D. Mitrea et al., VECTOR POTENTIAL-THEORY ON NONSMOOTH DOMAINS IN R-3 AND APPLICATIONS TO ELECTROMAGNETIC SCATTERING, The journal of fourier analysis and applications, 3(2), 1997, pp. 131-192
Citations number
98
Categorie Soggetti
Mathematics,Mathematics
Journal title
The journal of fourier analysis and applications → ACNP
ISSN journal
10695869
Volume
3
Issue
2
Year of publication
1997
Pages
131 - 192
Database
ISI
SICI code
1069-5869(1997)3:2<131:VPONDI>2.0.ZU;2-H
Abstract
We study boundary value problems for the time-harmonic form of the Max well equations, as well as for other related systems of equations, on arbitrary Lipschitz domains in the three-dimensional Euclidean space. The main goal is to develop the corresponding theory for L-P-integrabl e boundary data for optimal values of p's. We also discuss a number of relevant applications in electromagnetic scattering.