Regularity of solutions to time-harmonic Maxwell's system with H\"older and various lower than H\"older continuous coefficients
Analysis of PDEs
2024-10-15 v1
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)
Keywords
Cite
@article{arxiv.2410.10462,
title = {Regularity of solutions to time-harmonic Maxwell's system with H\"older and various lower than H\"older continuous coefficients},
author = {Lei Yu and Basang Tsering-xiao},
journal= {arXiv preprint arXiv:2410.10462},
year = {2024}
}