C^{1,\alpha}$-estimates for the near field refractor

We establish local $C^{1,\alpha}$ estimates for one source near field refractors under structural assumptions on the target, and with no assumptions on the smoothness of the densities.

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Bibliographic Details
Main Authors Gutierrez, Cristian E, Tournier, Federico
Format Journal Article
LanguageEnglish
Published 04.04.2019
Subjects
Mathematics - Analysis of PDEs
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Summary:We establish local $C^{1,\alpha}$ estimates for one source near field refractors under structural assumptions on the target, and with no assumptions on the smoothness of the densities.
DOI:10.48550/arxiv.1904.02475