Superposition principle for the continuity equation in a bounded domain

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. © Published under licence by IOP Publishing Ltd.

Authors
Bonicatto P.1 , Gusev N.A. 2, 3
Conference proceedings
Journal of Physics: Conference Series
Publisher
Institute of Physics Publishing
Number of issue
1
Language
English
Status
Published
DOI
10.1088/1742-6596/990/1/012002
Number
012002
Volume
990
Year
2018
Organizations
  • 1 SISSA, Via Bonomea, 265, Trieste TS, 34136, Italy
  • 2 Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkina St, Moscow, 119991, Russian Federation
  • 3 RUDN University, 6 Miklukho-Maklay St., Moscow, 117198, Russian Federation
Keywords
Ordinary differential equations; Bounded domain; Continuity equations; Elementary solutions; Initial-boundary value problems; Measure-valued solutions; Non negatives; Superposition principle; Initial value problems
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/6765/
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