English

Two-phase problems with distributed source: regularity of the free boundary

Analysis of PDEs 2016-01-20 v1

Abstract

We investigate the regularity of the free boundary for a general class of two-phase free boundary problems with non-zero right hand side. We prove that Lipschitz or flat free boundaries are C1,γC^{1,\gamma}. In particular, viscosity solutions are indeed classical.

Keywords

Cite

@article{arxiv.1210.7226,
  title  = {Two-phase problems with distributed source: regularity of the free boundary},
  author = {D. De Silva and F. Ferrari and S. Salsa},
  journal= {arXiv preprint arXiv:1210.7226},
  year   = {2016}
}
R2 v1 2026-06-21T22:28:26.931Z