Ill-posedness of the hyperbolic Keller-Segel model in Besov spaces

Ill-posedness of the hyperbolic Keller-Segel model in Besov spaces
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DOI:
10.1007/s00033-023-01952-8
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发表时间:
2022-10
期刊:
Zeitschrift für angewandte Mathematik und Physik
影响因子:
--
通讯作者:
Xiangli Fei;Yanghai Yu;Mingwen Fei
Xiangli Fei;Yanghai Yu;Mingwen Fei
中科院分区:
其他
文献类型:
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作者:
Xiangli Fei;Yanghai Yu;Mingwen Fei

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In this paper, we give a new construction ofsuch that the corresponding solution to the hyperbolic Keller-Segel model starting fromis discontinuous atin the metric ofwithand, which implies the ill-posedness for this equation in. Our result generalizes the recent work in Zhang et al. (J Differ Equ 334:451-489, 2022) where the caseandwas considered.