Geodesic
C 1 , α -estimates for the near field refractor
Gutiérrez, Cristian E.1 ; Tournier, Federico2
1 a Department of Mathematics, Temple University, Philadelphia, PA 19122, United States of America
2 b Instituto Argentino de Matemática A. P. Calderón, CONICET, Buenos Aires, Argentina
Annales de l'I.H.P. Analyse non linéaire, mai – juin 2021, Tome 38 (2021) no. 3, pp. 577-600.

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We establish local C1,α estimates for one source near field refractors under structural assumptions on the target, and with no assumptions on the smoothness of the densities.

DOI : 10.1016/j.anihpc.2020.08.002
Keywords: Holder estimates, Geometric optics, Analysis of pdes, Regularity of weak solutions

Gutiérrez, Cristian E. 1 ; Tournier, Federico 2

1 a Department of Mathematics, Temple University, Philadelphia, PA 19122, United States of America
2 b Instituto Argentino de Matemática A. P. Calderón, CONICET, Buenos Aires, Argentina 
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     author = {Guti\'errez, Cristian E. and Tournier, Federico},
     title = {$C^{1 , \alpha}$-estimates for the near field refractor},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {577--600},
     publisher = {Elsevier},
     volume = {38},
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Gutiérrez, Cristian E.; Tournier, Federico. $C^{1 , \alpha}$-estimates for the near field refractor. Annales de l'I.H.P. Analyse non linéaire, mai – juin 2021, Tome 38 (2021) no. 3, pp. 577-600. doi : 10.1016/j.anihpc.2020.08.002. http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2020.08.002/

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