Two-phase anisotropic free boundary problems and applications to the Bellman equation in 2D
Analysis of PDEs
2018-01-17 v1
Abstract
We prove Lipschitz continuity of solutions to a class of rather general two-phase anisotropic free boundary problems in 2D and we classify global solutions. As a consequence, we obtain regularity of solutions to the Bellman equation in 2D.
Keywords
Cite
@article{arxiv.1604.04499,
title = {Two-phase anisotropic free boundary problems and applications to the Bellman equation in 2D},
author = {Luis Caffarelli and Daniela De Silva and Ovidiu Savin},
journal= {arXiv preprint arXiv:1604.04499},
year = {2018}
}