Stationary solutions for conservation laws with singular nonlocal sources

被引：3

作者：

Coclite, Giuseppe Maria ^{[1
]}

Coclite, Mario Michele ^{[1
]}

机构：

[1] Univ Bari, Dept Math, I-70125 Bari, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 248卷 / 02期

关键词：

Hammerstein integral equations; Singular nonlinear problems; Existence of positive solutions; Singular elliptic perturbations; INTEGRODIFFERENTIAL EQUATION; POSITIVE SOLUTIONS;

D O I：

10.1016/j.jde.2009.09.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence of an a.e. positive stationary solution with bounded variation in [0, 1] for an integro-differential conservation law with source depending on a function singular in the origin is proved. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：229 / 251

页数：23

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