On uniqueness of weak solution to mixed problem for integro-differential aggregation equation

DOI10.13108/2018-10-4-40zbMath1463.35296OpenAlexW2915389764WikidataQ115238930 ScholiaQ115238930MaRDI QIDQ5137190

V. F. Vil'danova

Publication date: 2 December 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa446

zbMATH Keywords

global solutionintegro-differential equationuniqueness of solutionaggregation equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65)

Cites Work

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• Global and exploding solutions in a model of self-gravitating systems.
• Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion
• Initiation of slime mold aggregation viewed as an instability
• Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics
• Existence and uniqueness of a weak solution of a nonlocal aggregation equation with degenerate diffusion of general form
• Uniqueness of the renormalized solution of an elliptic-parabolic problem in anisotropic Sobolev-Orlicz spaces

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