SBV regularity for Burgers-Poisson equation

被引：1
|
作者：
Gilmore, Steven [1 ]
Nguyen, Khai T. [1 ]
机构：
[1] North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 500卷 / 01期
关键词：
Burgers-Poisson equation; Entropy weak solution; SBV regularity; SCALAR CONSERVATION-LAWS;
D O I：
10.1016/j.jmaa.2021.125095
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The SBV regularity of weak entropy solutions to the Burgers-Poisson equation for initial data in L-1(R) is considered. We show that the derivative of a solution consists of only the absolutely continuous part and the jump part. (C) 2021 Elsevier Inc. All rights reserved.
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页数：13
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