English

$C^{1,\alpha}$-estimates for the near field refractor

Analysis of PDEs 2019-04-05 v1

Abstract

We establish local C1,αC^{1,\alpha} estimates for one source near field refractors under structural assumptions on the target, and with no assumptions on the smoothness of the densities.

Cite

@article{arxiv.1904.02475,
  title  = {$C^{1,\alpha}$-estimates for the near field refractor},
  author = {Cristian E. Gutierrez and Federico Tournier},
  journal= {arXiv preprint arXiv:1904.02475},
  year   = {2019}
}

Comments

33 pages

R2 v1 2026-06-23T08:29:09.101Z