G-capacity under degenerate case and its application
Analysis of PDEs
2022-08-16 v2 Probability
Abstract
In this paper, we first find a type of viscosity solution of -heat equation under degenerate case, and then obtain the related -capacity for any Borel set . Furthermore, we prove that has no quasi-continuous version when it is not a constant function.
Cite
@article{arxiv.2109.07860,
title = {G-capacity under degenerate case and its application},
author = {Xiaojuan Li and Xinpeng Li},
journal= {arXiv preprint arXiv:2109.07860},
year = {2022}
}
Comments
10 pages