On representation of solutions to the heat equation

被引：1

作者：

Auscher, Pascal ^{[1
]}

Hou, Hedong ^{[1
]}

机构：

[1] Univ Paris Saclay, CNRS, Lab Math Orsay, F-91405 Orsay, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2024年 / 362卷

关键词：

PARABOLIC CAUCHY-PROBLEMS; WELL-POSEDNESS;

D O I：

10.5802/crmath.593

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：9

共 16 条

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