Reflector Problem in ℝN Endowed With Non-Euclidean Norm
Document Type
Article
Publication Date
8-1-2009
Abstract
In this paper, we establish existence and uniqueness up to dilations for the reflector problem in a nonisotropic medium in ℝn for which light wavefronts are described by non-Euclidean norm spheres, through approaches of paraboloid approximation and optimal mass transport. © 2009 Springer-Verlag.
Repository Citation
Caffarelli, L.,
& Huang, Q.
(2009). Reflector Problem in ℝN Endowed With Non-Euclidean Norm. Archive for Rational Mechanics and Analysis, 193, 445-473.
https://corescholar.libraries.wright.edu/math/351
DOI
10.1007/s00205-009-0221-1
