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Uniqueness of Solution to the Cauchy Problem for Aggregation Equation in Hyperbolic Space

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Abstract

We prove the uniqueness of a weak solution to the Cauchy problem for the aggregation equation in a hyperbolic space, where a nonnegative initial function is bounded and summable. We establish the existence of such a solution in our previous paper.

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REFERENCES

  1. Vildanova V.F. "Existence of a Solution to the Cauchy Problem for the Aggregation Equation in Hyperbolic Space", Izv. Vyssh. Uchebn. Zaved., Mat. 64, 33-44 (2020).

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Funding

This work was supported by the Russian Foundation for Basic Research, project no. 18-01-00428a.

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Authors and Affiliations

  1. Institute of Mathematics with Computing Center of the Ufa Federal Research Center of the Russian Academy of Sciences, 112 Chernyshevsky str., 450008, Ufa, Russia

    V. F. Vildanova

  2. Bashkir State Pedagogical University of M. Akmulla, 3a Oktyabr’skoi Revolyutsii str., 450000, Ufa, Russia

    V. F. Vildanova

Authors
  1. V. F. Vildanova
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Correspondence to V. F. Vildanova.

Additional information

Russian Text © The Author(s), 2021, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, No. 8, pp. 27–36.

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Vildanova, V.F. Uniqueness of Solution to the Cauchy Problem for Aggregation Equation in Hyperbolic Space. Russ Math. 65, 23–31 (2021). https://doi.org/10.3103/S1066369X2108003X

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  • DOI: https://doi.org/10.3103/S1066369X2108003X

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