On notions of $p$-parabolic capacity and applications
Analysis of PDEs
2024-09-25 v1
Abstract
We consider different notions of capacity related to the parabolic -Laplace equation. Our focus is on a variational notion, which is consistent in the full range . For such a notion we show some basic properties as well as its connection to other notions of capacity presented in the literature, and to a certain parabolic version of the Hausdorff measure. As applications, we use the introduced variational notion of capacity to study polar sets and removability results for supersolutions.
Cite
@article{arxiv.2409.16066,
title = {On notions of $p$-parabolic capacity and applications},
author = {Kristian Moring and Christoph Scheven},
journal= {arXiv preprint arXiv:2409.16066},
year = {2024}
}