JournalsaihpcVol. 38, No. 3pp. 577–600

C1,α-estimates for the near field refractor

  • Cristian E. Gutiérrez

    Department of Mathematics, Temple University, Philadelphia, PA 19122, United States of America

  • Federico Tournier

    Instituto Argentino de Matemática A. P. Calderón, CONICET, Buenos Aires, Argentina
C1,α-estimates for the near field refractor cover

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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