Existence and uniqueness of a weak solution of an integro-differential aggregation equation on a Riemannian manifold

DOI10.1070/SM9216zbMath1440.35338OpenAlexW2986601923WikidataQ115316359 ScholiaQ115316359MaRDI QIDQ5112428

V. F. Vil'danova

Publication date: 29 May 2020

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

Full work available at URL: https://doi.org/10.1070/sm9216

zbMATH Keywords

uniquenessaggregation equationnonlocal parabolic problemlocal existence of solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Viscosity solutions to PDEs (35D40) Integro-partial differential equations (35R09)

Related Items (3)

Existence of a solution to the Cauchy problem for the aggregation equation in hyperbolic space ⋮ Uniqueness of solution to the Cauchy problem for aggregation equation in hyperbolic space ⋮ Existence of the Cauchy problem for aggregation equation with variable exponents in the hyperbolic space

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