On representation of solutions to the heat equation
Year: 2024
Type: article
Abstract: We propose a simple method to obtain semigroup representation of solutions to the heat equation using a local L 2 condition with prescribed growth and a boundedness condition within tempered distributions. This applies to many functional settings and, as an example, we consider the Koch and Tataru space related to BMO - 1 initial data.
Source: Comptes Rendus Mathématique
DOI: 10.5802/crmath.593
Authors: Pascal Auscher, Hedong Hou
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: Agence Nationale de la Recherche
OpenAlex ID: W4402610389