Estimates on parabolic equations that hold only where the space-time gradient is large
Analysis of PDEs
2014-09-18 v2
Abstract
We study the Krylov-Safonov type H\"older estimate and Harnack inequality for viscosity solutions satisfying a uniformly parabolic equation only where the gradient with respect to the space-time variables is large.
Keywords
Cite
@article{arxiv.1409.4177,
title = {Estimates on parabolic equations that hold only where the space-time gradient is large},
author = {Soojung Kim},
journal= {arXiv preprint arXiv:1409.4177},
year = {2014}
}
Comments
This paper has been withdrawn by the author due to a critical flaw in the proof