Abstract
We investigate the Cauchy problem of a multidimensional chemotaxis model with initial data in critical Besov spaces. The global existence and uniqueness of the strong solution is shown for initial data close to a constant equilibrium state.
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Hao, C. Global well-posedness for a multidimensional chemotaxis model in critical Besov spaces. Z. Angew. Math. Phys. 63, 825–834 (2012). https://doi.org/10.1007/s00033-012-0193-0
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DOI: https://doi.org/10.1007/s00033-012-0193-0