The Heat Equation with Singular Potentials. II: Hypoelliptic Case-Reference-Cited by-同舟云学术

The Heat Equation with Singular Potentials. II: Hypoelliptic Case

Published:2022-04-26 Issue:1 Volume:179 Page:
ISSN:0167-8019
Container-title:Acta Applicandae Mathematicae
language:en
Short-container-title:Acta Appl Math

Author:

Chatzakou Marianna,Ruzhansky Michael^ORCID,Tokmagambetov Niyaz

Abstract

AbstractIn 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 the work (Altybay et al. in Appl. Math. Comput. 399:126006, 2021), where the classical heat equation on

$\mathbb{R}^{n}$

R n was considered.

Funder

Fonds Wetenschappelijk Onderzoek

Bijzonder Onderzoeksfonds

Engineering and Physical Sciences Research Council

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s10440-022-00487-w.pdf

Reference30 articles.

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