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

Published 14 Oct 2024 in math.AP | (2410.10462v1)

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 H\"older regularity for the solutions to the time-harmonic anisotropic Maxwell's equations under H\"older continuous coefficients, raising the H\"older index to the interval (0,1)

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