English

A counterexample to $C^{2,1}$ regularity for parabolic fully nonlinear equations

Analysis of PDEs 2007-05-23 v1

Abstract

We address the self-similar solvability of a singular parabolic problem and show that solutions to parabolic fully nonlinear equations are not expected to be C2,1C^{2,1}.

Keywords

Cite

@article{arxiv.math/0701769,
  title  = {A counterexample to $C^{2,1}$ regularity for parabolic fully nonlinear equations},
  author = {Luis A. Caffarelli and Ulisse Stefanelli},
  journal= {arXiv preprint arXiv:math/0701769},
  year   = {2007}
}

Comments

15 pages, 5 figures