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.

引用

页数：13

共 50 条

[31] On the regularity of solutions to the Poisson equation in Orlicz-spaces
Azroul, E
Benkirane, A
Tienari, M
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2000, 7 (01) : 1 - 12
[32] REGULARITY OF SOLUTIONS OF POISSON'S EQUATION IN MULTIPLIER SPACES
Bensikaddour, Djemaia
Gala, Sadek
Lahmar-Benbernou, Amina
PERIODICA MATHEMATICA HUNGARICA, 2008, 57 (01) : 1 - 22
[33] A FRACTIONAL POISSON EQUATION: EXISTENCE, REGULARITY AND APPROXIMATIONS OF THE SOLUTION
Sanz-Sole, Marta
Torrecilla, Ivan
STOCHASTICS AND DYNAMICS, 2009, 9 (04) : 519 - 548
[34] New regularity results for the heat equation and application to non-homogeneous Burgers equation
Benia, Yassine
Sadallah, Boubaker-Khaled
GEORGIAN MATHEMATICAL JOURNAL, 2022, 29 (06) : 813 - 821
[35] Regularity of the attractor for KP1-burgers equation: The periodic case
Abounouh, M
Goubet, O
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2004, 3 (02) : 237 - 252
[36] On the low regularity of the Korteweg-de Vries-Burgers equation
Molinet, L
Ribaud, F
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2002, 2002 (37) : 1979 - 2005
[37] HIGH-ORDER REGULARITY FOR SOLUTIONS OF THE INVISCID BURGERS-EQUATION
DEVORE, RA
LUCIER, BJ
NONLINEAR HYPERBOLIC PROBLEMS /, 1989, 1402 : 147 - 154
[38] HIGH-ORDER REGULARITY FOR SOLUTIONS OF THE INVISCID BURGERS-EQUATION
DEVORE, RA
LUCIER, BJ
LECTURE NOTES IN MATHEMATICS, 1989, 1402 : 147 - 154
[39] Boundary regularity for the Poisson equation in reifenberg-flat domains
Lemenant, Antoine
Sire, Yannick
GEOMETRIC PARTIAL DIFFERENTIAL EQUATIONS: PROCEEDINGS, 2013, 15 : 189 - 209
[40] Besov regularity of edge singularities for the Poisson equation in polyhedral domains
Dahlke, S
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2002, 9 (6-7) : 457 - 466

← 1 2 3 4 5 →