On the Cauchy problem for the fractional drift-diffusion system in critical Besov spaces |
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| Authors: | Jihong Zhao Qiao Liu |
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| Affiliation: | 1. College of Science, Northwest A&2. F University, Yangling, Shaanxi 712100, People’s Republic of China.zhaojih@nwsuaf.edu.cnzhaojihmath@gmail.com;5. Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, People’s Republic of China. |
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| Abstract: | In this paper, we establish global well-posedness and asymptotic stability of mild solutions for the Cauchy problem of the fractional drift-diffusion system with small initial data in critical Besov spaces. The regularizing-decay rate estimates of mild solutions are also proved, which imply that mild solutions are analytic in space variables. |
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| Keywords: | fractional drift-diffusion system Cauchy problem mild solutions Besov spaces |
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