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- W2058194637 abstract "We shall show an exact time interval for the existence of local strong solutions to the Keller-Segel system with the initial data u0 in Ln /2w (ℝn), the weak Ln /2-space on ℝn. If ‖u0‖ is sufficiently small, then our solution exists globally in time. Our motivation to construct solutions in Ln /2w (ℝn) stems from obtaining a self-similar solution which does not belong to any usual Lp(ℝn). Furthermore, the characterization of local existence of solutions gives us an explicit blow-up rate of ‖u (t)‖ for n /2 < p < ∞ as t → Tmax, where Tmax denotes the maximal existence time (© 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)" @default.
- W2058194637 created "2016-06-24" @default.
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- W2058194637 date "2010-03-15" @default.
- W2058194637 modified "2023-10-11" @default.
- W2058194637 title "Strong solutions to the Keller-Segel system with the weak<i>L</i><sup><i>n</i>/2</sup>initial data and its application to the blow-up rate" @default.
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- W2058194637 doi "https://doi.org/10.1002/mana.200610835" @default.
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