C1,α-estimates for the near field refractor
Cristian E. Gutiérrez
Department of Mathematics, Temple University, Philadelphia, PA 19122, United States of AmericaFederico Tournier
Instituto Argentino de Matemática A. P. Calderón, CONICET, Buenos Aires, Argentina
Abstract
We establish local estimates for one source near field refractors under structural assumptions on the target, and with no assumptions on the smoothness of the densities.
Cite this article
Cristian E. Gutiérrez, Federico Tournier, C1,α-estimates for the near field refractor. Ann. Inst. H. Poincaré Anal. Non Linéaire 38 (2021), no. 3, pp. 577–600
DOI 10.1016/J.ANIHPC.2020.08.002