Existence and uniqueness of a weak solution of a nonlocal aggregation equation with degenerate diffusion of general form

DOI10.1070/SM8850zbMath1392.35185OpenAlexW2768627458MaRDI QIDQ4568579

V. F. Vil'danova

Publication date: 22 June 2018

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

Full work available at URL: https://doi.org/10.1070/sm8850

zbMATH Keywords

existence of solutionuniqueness of solutionaggregation equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Integro-partial differential equations (45K05) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59)

Related Items (5)

Existence and uniqueness of a weak solution of an integro-differential aggregation equation on a Riemannian manifold ⋮ Regularization of Volterra linear integral equations of the first kind with the smooth data ⋮ On uniqueness of weak solution to mixed problem for integro-differential aggregation equation ⋮ 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

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