English

Regularity for the near field parallel refractor and reflector problems

Analysis of PDEs 2014-04-16 v1

Abstract

We prove local C1,αC^{1,\alpha} estimates of solutions for the parallel refractor and reflector problems under local assumptions on the target set Σ\Sigma, and no assumptions are made on the smoothness of the densities.

Keywords

Cite

@article{arxiv.1404.4011,
  title  = {Regularity for the near field parallel refractor and reflector problems},
  author = {Cristian E. Gutierrez and Federico Tournier},
  journal= {arXiv preprint arXiv:1404.4011},
  year   = {2014}
}

Comments

32 pages, three figures

R2 v1 2026-06-22T03:51:36.387Z