The heat equation with singular potentials. II: Hypoelliptic case
Analysis of PDEs
2021-10-26 v1
Abstract
In this paper we consider the heat equation with a strongly singular potential and show that it has a very weak solution. Our analysis is devoted to general hypoelliptic operators and is developed in the setting of graded Lie groups. The current work continues and extends a previous work , where the classical heat equation on was considered.
Keywords
Cite
@article{arxiv.2110.12380,
title = {The heat equation with singular potentials. II: Hypoelliptic case},
author = {Marianna Chatzakou and Michael Ruzhansky and Niyaz Tokmagambetov},
journal= {arXiv preprint arXiv:2110.12380},
year = {2021}
}
Comments
This work is a continuation of the work arXiv:2004.11255v3. It is 21 pages