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Time-decay Estimates for Keller-Segel System

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Abstract

For the Cauchy problem to Keller-Segel system, we show well-posedness and time-decay estimates in the critical scaling-invariant Besov spaces by using Littlewood-Paley analysis together with the decay estimates of heat kernels.

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Authors and Affiliations

  1. School of Mathematical Sciences, Zhejiang University, Hangzhou, 310027, P. R. China

    Zhen Bin Cao & Meng Wang

  2. College of Science, Institute for Nonlinear Sciences, Donghua University, Shanghai, 201620, P. R. China

    Xiao Feng Liu

Authors
  1. Zhen Bin Cao
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  2. Xiao Feng Liu
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  3. Meng Wang
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Correspondence to Xiao Feng Liu.

Additional information

Supported by NSFC (Grant No. 11771388)

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Cao, Z.B., Liu, X.F. & Wang, M. Time-decay Estimates for Keller-Segel System. Acta. Math. Sin.-English Ser. 37, 666–674 (2021). https://doi.org/10.1007/s10114-021-0309-6

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  • DOI: https://doi.org/10.1007/s10114-021-0309-6

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