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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
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.
Received: 01.09.2020 Revised: 01.09.2020 Accepted: 24.12.2020
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
Linking options:
https://www.mathnet.ru/eng/ivm9700 https://www.mathnet.ru/eng/ivm/y2021/i8/p27
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