Regularity for $C^{1,α}$ interface transmission problems

preprint2022arXivOpen access

We study existence, uniqueness, and optimal regularity of solutions to transmission problems for harmonic functions with $C^{1,α}$ interfaces. For this, we develop a novel geometric stability argument based on the mean value property.

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Regularity for $C^{1,α}$ interface transmission problems

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Regularity for C1,αC^{1,α}C1,α interface transmission problems

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Regularity for $C^{1,α}$ interface transmission problems