## Abstract Let u be a vector field on a bounded Lipschitz domain in โ^3^, and let u together with its divergence and curl be square integrable. If either the normal or the tangential component of u is square integrable over the boundary, then u belongs to the Sobolev space __H__^1/2^ on the domain
Clifford algebras and Maxwell's equations in Lipschitz domains
โ Scribed by Alan McIntosh; Marius Mitrea
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 181 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0170-4214
No coin nor oath required. For personal study only.
โฆ Synopsis
Communicated by W
๐ SIMILAR VOLUMES
We develop a simple variational argument based on the usual Nirenberg difference quotient technique to deal with the regularity of the solutions of Dirichlet and Neumann problems for some linear and quasilinear elliptic equation in Lipschitz domains. We obtain optimal regularity results in the natur
## Abstract This paper is concerned with the structure of the singular and regular parts of the solution of timeโharmonic Maxwell's equations in polygonal plane domains and their effective numerical treatment. The asymptotic behaviour of the solution near corner points of the domain is studied by m
## Abstract We study the wellโposedness of the halfโDirichlet and Poisson problems for Dirac operators in threeโdimensional Lipschitz domains, with a special emphasis on optimal Lebesgue and SobolevโBesov estimates. As an application, an elliptization procedure for the Maxwell system is devised. Co