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.

引用

页数：12

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