Optimal Regularity of a Degenerate Elliptic Equation

被引：0
|
作者：
Xiaohuan Wang
Jihui Zhang
机构：
[1] Nanjing University of Information Science and Technology,School of Mathematics and Statistics
[2] Nanjing Normal University,School of Mathematical Science, Institute of Mathematics
来源：
Journal of Nonlinear Mathematical Physics | 2023年 / 30卷
关键词：
Grushin’s operator; Schauder estimate; -theory; 35J70; 35J08;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we consider the optimal regularity of solutions to elliptic equation with a Grushin-like operator. By using the Feynman–Kac formula, we first get the expression of heat kernel, and then by using the properties of heat kernel, the optimal regularity of solutions will be obtained. The novelty of this paper is that the Grushin-like operator is a degenerate operator.
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页码：254 / 268
页数：14
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