English

Uniform estimates near the initial state for solutions to the two-phase parabolic problem

Analysis of PDEs 2014-10-27 v1

Abstract

This paper is devoted to a proof of optimal regularity, near the initial state, for weak solutions to the two-phase parabolic obstacle problem. The approach used here is general enough to allow us to consider the initial data belonging to the class C1,1C^{1,1}.

Keywords

Cite

@article{arxiv.1203.5816,
  title  = {Uniform estimates near the initial state for solutions to the two-phase parabolic problem},
  author = {D. E. Apushkinskaya and N. N. Uraltseva},
  journal= {arXiv preprint arXiv:1203.5816},
  year   = {2014}
}
R2 v1 2026-06-21T20:40:14.007Z