Regularity for the near field parallel refractor and reflector problems

We prove local $C^{1,\alpha}$ estimates of solutions for the parallel refractor and reflector problems under local assumptions on the target set $\Sigma$, and no assumptions are made on the smoothness of the densities.

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Bibliographic Details
Main Authors Gutierrez, Cristian E, Tournier, Federico
Format Journal Article
LanguageEnglish
Published 15.04.2014
Subjects
Mathematics - Analysis of PDEs
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Summary:We prove local $C^{1,\alpha}$ estimates of solutions for the parallel refractor and reflector problems under local assumptions on the target set $\Sigma$, and no assumptions are made on the smoothness of the densities.
DOI:10.48550/arxiv.1404.4011