Boundary Regularity for the $\infty$-Heat Equation
Analysis of PDEs
2018-09-19 v3
Abstract
We study the boundary regularity for the normalised -heat equation in arbitrary domains. Perron's Method is used for constructing solutions. We characterize regular boundary points with barrier functions, and prove an Exterior Ball result. A Petrovsky-like criterion is established.
Cite
@article{arxiv.1709.09487,
title = {Boundary Regularity for the $\infty$-Heat Equation},
author = {Nikolai Ubostad},
journal= {arXiv preprint arXiv:1709.09487},
year = {2018}
}