SIGNED RADON MEASURE-VALUED SOLUTIONS OF FLUX SATURATED SCALAR CONSERVATION LAWS

被引：5
|
作者：
Bertsch, Michiel [1 ,2 ]
Smarrazzo, Flavia [3 ]
Terracina, Andrea [4 ]
Tesei, Alberto [2 ,4 ]
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci, I-00133 Rome, Italy
[2] CNR, Ist Applicaz Calcolo M Picone, Rome, Italy
[3] Univ Campus Biomed Roma, Fac Dipartimentale Ingn, Via Alvaro del Portillo 21, I-00128 Rome, Italy
[4] Univ Sapienza Roma, Dipartimento Matemat G Castelnuovo, Ple A Moro 5, I-00185 Rome, Italy
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2020年 / 40卷 / 06期
关键词：
First order hyperbolic conservation laws; signed Radon measures; singular boundary conditions; entropy inequalities; uniqueness;
D O I：
10.3934/dcds.2020041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove existence and uniqueness for a class of signed Radon measure-valued entropy solutions of the Cauchy problem for a first order scalar hyperbolic conservation law in one space dimension. The initial data of the problem is a finite superposition of Dirac masses, whereas the flux is Lipschitz continuous and bounded. The solution class is determined by an additional condition which is needed to prove uniqueness.
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页码：3143 / 3169
页数：27
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