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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 7, Pages 33–44
DOI: https://doi.org/10.26907/0021-3446-2020-7-33-44 (Mi ivm9592) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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

V. F. Vil'danova

Bashkir State Pedagogical University of M. Akmulla, 3a Oktyabrskoj Revoljucii str., Ufa, 450008 Russia
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DOI: https://doi.org/10.26907/0021-3446-2020-7-33-44
Abstract: In hyperbolic space, we consider the Cauchy problem for the aggregation equation. Non-negative initial function limited and summable. The existence of a weak solution is proved on small time interval. In the case where the kernel of the integral operator is smooth and rapidly decreases at infinity, the existence of a bounded solution on an arbitrary interval of time is proved.
Keywords: the aggregation equation, solution existence, hyperbolic space.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00428_a
Received: 17.06.2019
Revised: 20.12.2019
Accepted: 25.03.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 7, Pages 27–37
DOI: https://doi.org/10.3103/S1066369X2007004X
Bibliographic databases:
Document Type: Article
UDC: 517.954
Language: Russian
Citation: V. F. Vil'danova, “Existence of a solution to the Cauchy problem for the aggregation equation in hyperbolic space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 7, 33–44; Russian Math. (Iz. VUZ), 64:7 (2020), 27–37
Citation in format AMSBIB
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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