Hölder regularity for Maxwell's equations under minimal assumptions on the coefficients

Abstract

We prove global Hölder regularity for the solutions to the time-harmonic anisotropic Maxwell's equations, under the assumptions of Hölder continuous coefficients. The regularity hypotheses on the coefficients are minimal. The same estimates hold also in the case of bianisotropic material parameters.

11 pages

References in corpus (1)

• Elliptic regularity theory applied to time harmonic anisotropic Maxwell's equations with less than Lipschitz complex coefficients

Cited by in corpus (2)

• Essential spectrum for Maxwell's equations
• Existence, regularity and uniqueness of weak solutions with bounded magnetic fields to the steady Hall-MHD system