Twice differentiability of solutions to fully nonlinear parabolic equations near the boundary
Analysis of PDEs
2019-09-25 v2
Abstract
In this paper, we prove regularity for viscosity solutions to non-convex fully nonlinear parabolic equations near the boundary. This constitutes the parabolic counterpart of a similar regularity result due to Silvestre and Sirakov proved in [15] for solutions to non-convex fully nonlinear elliptic equations.
Keywords
Cite
@article{arxiv.1909.09627,
title = {Twice differentiability of solutions to fully nonlinear parabolic equations near the boundary},
author = {Karthik Adimurthi and Agnid Banerjee and Ram Baran Verma},
journal= {arXiv preprint arXiv:1909.09627},
year = {2019}
}