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• W2046970703 abstract "The uniqueness of weak solutions to the parabolic–parabolic Keller–Segel systems (KS)m below with m>max⁡{12−1n,0} is proved in the class of Hölder continuous functions for any space dimension n. Since Hölder continuity is an optimal regularity for weak solutions of the porous medium equation, it seems to be reasonable to investigate its uniqueness in such a class of solutions. Our proof is based on the standard duality argument coupled with vanishing viscosity method which recovers degeneracy for m>1, and which removes singularities for 0<m<1 in the energy class of solutions." @default.
• W2046970703 created "2016-06-24" @default.
• W2046970703 creator A5057163716 @default.
• W2046970703 creator A5060503888 @default.
• W2046970703 date "2014-12-01" @default.
• W2046970703 modified "2023-10-14" @default.
• W2046970703 title "On uniqueness theorem on weak solutions to the parabolic–parabolic Keller–Segel system of degenerate and singular types" @default.
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• W2046970703 doi "https://doi.org/10.1016/j.jde.2014.08.001" @default.
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