Fri, 05 Oct 2018
12:00 -
13:00
L5
Regularity theory for Maxwell's equations
Giovanni S Alberti
(University of Genoa)
Abstract
The focus of this talk is the regularity theory for time-harmonic Maxwell's equations with complex anisotropic parameters. By using the Helmholtz decomposition of the fields, we show how the problem can be completely reduced to a regularity question for elliptic equations, for which classical results may be applied. In particular, we prove the Hölder regularity of solutions under minimal assumptions on the coefficients.