On uniqueness theorem on weak solutions to the parabolic-parabolic Keller-Segel system of degenerate and singular types
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Publication:743889
DOI10.1016/j.jde.2014.08.001zbMath1302.35007OpenAlexW2046970703MaRDI QIDQ743889
Yoshie Sugiyama, Masanari Miura
Publication date: 1 October 2014
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2014.08.001
Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Semilinear parabolic equations (35K58) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (12)
A note on \(L^\infty\)-bound and uniqueness to a degenerate Keller-Segel model ⋮ Hölder regularity and uniqueness theorem on weak solutions to the degenerate Keller-Segel system ⋮ A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model ⋮ A note on the uniqueness of weak solutions to a class of cross-diffusion systems ⋮ Boundedness in a quasilinear fully parabolic Keller-Segel system via maximal Sobolev regularity ⋮ Refined hyper-contractivity and uniqueness for the Keller-Segel equations ⋮ Traveling pulse solutions of a generalized Keller-Segel system with small cell diffusion via a geometric approach ⋮ Uniqueness of solutions for Keller-Segel system of porous medium type coupled to fluid equations ⋮ Hölder continuity of Keller-Segel equations of porous medium type coupled to fluid equations ⋮ Uniqueness of weak solutions to a high dimensional Keller-Segel equation with degenerate diffusion and nonlocal aggregation ⋮ A well-posedness result for a system of cross-diffusion equations ⋮ Exponential Attractor for One-Dimensional Self-Organizing Target-Detection Model
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