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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 8, Pages 27–36
DOI: https://doi.org/10.26907/0021-3446-2021-8-27-36
(Mi ivm9700)
 

Uniqueness of solution to the Cauchy problem for aggregation equation in hyperbolic space

V. F. Vildanovaab

a Institute of Mathematics with Computing Centre of the Ufa Federal Research Centre of the Russian Academy of Sciences, 112 Chernyshevsky str., Ufa, 450008 Russia
b Bashkir state pedagogical university of M. Akmulla, 3 a Oktyabr'skoi Revolyutsii str., Ufa, 450000 Russia
References:
Abstract: In hyperbolic space the Cauchy problem is considered for the aggregation equation. Non-negative initial function is bounded and summable. The uniqueness of a weak solution is proved. The existence of solution was established in a previous paper.
Keywords: the aggregation equation, uniqueness of solution, hyperbolic space.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00428_a
Received: 01.09.2020
Revised: 01.09.2020
Accepted: 24.12.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 8, Pages 23–31
DOI: https://doi.org/10.3103/S1066369X2108003X
Document Type: Article
UDC: 517.954
Language: Russian
Citation: V. F. Vildanova, “Uniqueness of solution to the Cauchy problem for aggregation equation in hyperbolic space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 8, 27–36; Russian Math. (Iz. VUZ), 65:8 (2021), 23–31
Citation in format AMSBIB
\Bibitem{Vil21}
\by V.~F.~Vildanova
\paper Uniqueness of solution to the Cauchy problem for aggregation equation in hyperbolic space
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 8
\pages 27--36
\mathnet{http://mi.mathnet.ru/ivm9700}
\crossref{https://doi.org/10.26907/0021-3446-2021-8-27-36}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 8
\pages 23--31
\crossref{https://doi.org/10.3103/S1066369X2108003X}
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