Mathematical Methods in the Applied Sciences.
John Wiley and Sons Ltd.
Vol. 41.
2018.
P. 1825-1830
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
Publisher
Institute of Physics Publishing
Number of issue
1
Language
English
Status
Published
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
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