Superposition principle for the continuity equation in a bounded domain

被引：2
|
作者：
Bonicatto, P. [1 ]
Gusev, N. A. [2 ,3 ]
机构：
[1] SISSA, Via Bonomea 265, I-34136 Trieste, TS, Italy
[2] Russian Acad Sci, Steklov Math Inst, 8 Gubkina St, Moscow 119991, Russia
[3] RUDN Univ, 6 Miklukho Maklay St, Moscow 117198, Russia
来源：
EUROPEAN CONFERENCE - WORKSHOP NONLINEAR MAPS AND APPLICATIONS | 2018年 / 990卷
关键词：
D O I：
10.1088/1742-6596/990/1/012002
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
We consider an initial boundary value problem for the continuity equation in a class of non-negative measure-valued solutions. We prove that any solution in the considered class can be represented as a superposition of elementary solutions, associated with the solutions of the corresponding ordinary differential equation.
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页数：12
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