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arXiv · 2410.10462

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

Lei Yu·Basang Tsering-xiao
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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)

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Lei Yu, Basang Tsering-xiao. 2024-10-14. Regularity of solutions to time-harmonic Maxwell's system with Hölder and various lower than Hölder continuous coefficients. https://arxiv.org/abs/2410.10462

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