English

H\"older regularity for Maxwell's equations under minimal assumptions on the coefficients

Analysis of PDEs 2019-04-04 v2

Abstract

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

Keywords

Cite

@article{arxiv.1604.03741,
  title  = {H\"older regularity for Maxwell's equations under minimal assumptions on the coefficients},
  author = {Giovanni S. Alberti},
  journal= {arXiv preprint arXiv:1604.03741},
  year   = {2019}
}

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11 pages