Regularity of solutions to time-harmonic Maxwell's system with Hölder and various lower than Hölder continuous coefficients

Abstract

The purpose of this paper is to establish a complete Schauder theory for the second-order linear elliptic equation and the time-harmonic Maxwell's system. We prove global Hölder regularity for the solutions to the time-harmonic anisotropic Maxwell's equations under Hölder continuous coefficients, raising the Hölder index to the interval (0,1)