Well-posedness for a scalar conservation law with singular nonconservative source

被引：10
|
作者：
Guerra, G [1 ]
机构：
[1] Univ Milan, Dipartimento Matemat & Applicaz, I-80126 Milan, Italy
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年 / 206卷 / 02期
关键词：
well posedness; balance laws; singular sources; nonconservative (NC) products;
D O I：
10.1016/j.jde.2004.04.008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the Cauchy problem for the 2 x 2 strictly hyperbolic system [GRAPHICS] For possibly large, discontinuous data, the continuous dependence of the solution with respect to both a(0) and u(0) is shown. Moreover, the solutions are characterized as unique limits of Kruzkov's entropic solutions constructed with regularized initial data a(0)(epsilon). (C) 2004 Elsevier Inc. All rights reserved.
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页码：438 / 469
页数：32
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