ON THE HEAT EQUATION WITH DRIFT IN Ld+1

被引：0
|
作者：
Krylov, N. V. [1 ]
机构：
[1] Univ Minnesota, 127 Vincent Hall, Minneapolis, MN 55455 USA
来源：
METHODS AND APPLICATIONS OF ANALYSIS | 2022年 / 29卷 / 02期
关键词：
The heat equation; singular first-order terms; non-perturbative technique; PARABOLIC EQUATIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we deal with the heat equation with drift inL(d+1). Basically, we prove that, if the free term is in L-q with high enough q, then the equation is uniquely solvable in a ratherunusual class of functions such that partial derivative;(tu), D(2)u is an element of L-p with p < d+ 1 and Du is an element of L-q.
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页码：195 / 208
页数：14
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