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Large global-in-time solutions to a nonlocal model of chemotaxis
Published 9 May 2017 in math.AP | (1705.03310v1)
Abstract: We consider the parabolic-elliptic model for the chemotaxis with fractional (anomalous) diffusion. Global-in-time solutions are constructed under (nearly) optimal assumptions on the size of radial initial data. Moreover, criteria for blowup of radial solutions in terms of suitable Morrey spaces norms are derived.
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