Breadcrumbs Section. Click here to navigate to respective pages.
Chapter

Chapter
Regularity and Approximation Results for the Maxwell Problem on C1 and Lipschitz Domains
DOI link for Regularity and Approximation Results for the Maxwell Problem on C1 and Lipschitz Domains
Regularity and Approximation Results for the Maxwell Problem on C1 and Lipschitz Domains book
Regularity and Approximation Results for the Maxwell Problem on C1 and Lipschitz Domains
DOI link for Regularity and Approximation Results for the Maxwell Problem on C1 and Lipschitz Domains
Regularity and Approximation Results for the Maxwell Problem on C1 and Lipschitz Domains book
ABSTRACT
Solutions to boundary values problems for Maxwell’s equations are described using the layer potential Maxwell operator. The Maxwell, electric and magnetic boundary value problems for time harmonic electromagnetic wave propagation have unique solutions in C 1 domains and satisfy optimal estimates. Sobolev-Besov regularity results hold for domains with Lipschitz boundaries. Also, multipole expansion methods can be used to approximate L p tangential vector fields on the boundaries of domains which are only Lipschitz.