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

DOI10.3103/S1066369X2108003XzbMath1475.35193OpenAlexW3197581271WikidataQ115488671 ScholiaQ115488671MaRDI QIDQ2234448

V. F. Vil'danova

Publication date: 19 October 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x2108003x

zbMATH Keywords

uniqueness of weak solutionsnonnegative initial function

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Weak solutions to PDEs (35D30) Quasilinear parabolic equations with (p)-Laplacian (35K92) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on manifolds (35R01)

Cites Work

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• Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion
• Well-posedness of the Cauchy problem for nonlinear parabolic equations with variable density in the hyperbolic space
• Existence of a solution to the Cauchy problem for the aggregation equation in hyperbolic space
• Existence and uniqueness of a weak solution of a nonlocal aggregation equation with degenerate diffusion of general form
• Existence and uniqueness of a weak solution of an integro-differential aggregation equation on a Riemannian manifold

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