Uniqueness of weak solutions to a high dimensional Keller-Segel equation with degenerate diffusion and nonlocal aggregation

DOI10.1016/j.na.2016.01.005zbMath1334.35102OpenAlexW2293312099MaRDI QIDQ5962931

Sining Zheng, Liang Hong, Wei Wang

Publication date: 25 February 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2016.01.005

zbMATH Keywords

degenerate diffusionoptimal transportationuniqueness of weak solutionsWasserstein distanceKeller-Segel modelnonlocal aggregation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• Global solutions of some chemotaxis and angiogenesis system in high space dimension
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• The Cauchy problem and self-similar solutions for a nonlinear parabolic equation
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