RIGOROUS ESTIMATES ON BALANCE LAWS IN BOUNDED DOMAINS

被引：20
|
作者：
Colombo, Rinaldo M. [1 ]
Rossi, Elena [2 ]
机构：
[1] Univ Brescia, Unita INdAM, I-25123 Brescia, Italy
[2] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, I-20125 Milan, Italy
来源：
ACTA MATHEMATICA SCIENTIA | 2015年 / 35卷 / 04期
关键词：
balance laws; initial-boundary value problem for balance laws;
D O I：
10.1016/S0252-9602(15)30028-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The initial boundary value problem for a general balance law in a bounded domain is proved to be well posed. Indeed, we show the existence of an entropy solution, its uniqueness and its Lipschitz continuity as a function of time, of the initial datum and of the boundary datum. The proof follows the general lines in [4], striving to provide a rigorous treatment and detailed references.
引用
收藏
页码：906 / 944
页数：39
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