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	ULTRA-CONTRACTIVITY FOR KELLER-SEGEL MODEL WITH DIFFUSION EXPONENT m > 1-2/d
	Bian, Shen ; Liu, Jian-Guo ; Zou, Chen
	2014
关键词	Hyper-contractive ultra-contractive chemotaxis nonlocal aggregation degenerate diffusion GLOBAL EXISTENCE BLOW-UP TIME AGGREGATION SYSTEM
英文摘要	This paper establishes the hyper-contractivity in L-infinity(R-d) (it's known as ultra-contractivity) for the multi-dimensional Keller-Segel systems with the diffusion exponent m > 1-2/d. The results show that for the super-critical and critical case 1-2/d < m <= 2-2/d, if vertical bar vertical bar U-0 vertical bar vertical bar(d)((2-m))(/2) < C-d,C-m where C-d,C-m is a universal constant, then for any t > 0, vertical bar vertical bar u(.,t)vertical bar vertical bar(L)infinity (R-d) is bounded and decays as t goes to infinity. For the subcritical case m > 2-2/d, the solution u(.,t) is an element of L-infinity (R-d) with any initial data U-0 is an element of L-+(1)(R-d) for any positive time.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000328688800002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; Mathematics; SCI(E); 10; ARTICLE; bianshen66@163.com; jliu@phy.duke.edu; zouchen@pku.edu.cn; 1; 9-28; 7
语种	英语
出处	SCI
出版者	kinetic and related models
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/389887]
专题	数学科学学院
推荐引用方式 GB/T 7714	Bian, Shen,Liu, Jian-Guo,Zou, Chen. ULTRA-CONTRACTIVITY FOR KELLER-SEGEL MODEL WITH DIFFUSION EXPONENT m > 1-2/d. 2014-01-01.

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