$C^{1,α}$-estimates for the near field refractor
We establish local $C^{1,α}$ estimates for one source near field refractors under structural assumptions on the target, and with no assumptions on the smoothness of the densities.
math.AP↗
arXiv subjects
Publications and source records attributed to Federico Tournier.
We establish local $C^{1,α}$ estimates for one source near field refractors under structural assumptions on the target, and with no assumptions on the smoothness of the densities.
We prove local $C^{1,α}$ estimates of solutions for the parallel refractor and reflector problems under local assumptions on the target set $Σ$, and no assumptions are made on the smoothness of the densities.