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	Blow-up rates for higher-order semilinear parabolic equations and systems and some Fujita-type theorems
	Pan, Hongjing ; Xing, Ruixiang
	2008
关键词	blow-up rate higher-order parabolic equation parabolic system Fujita-type theorem CRITICAL EXPONENTS EXISTENCE
英文摘要	In this paper, we derive blow-up rates for higher-order semilinear parabolic equations and systems. Our proof is by contradiction and uses a scaling argument. This procedure reduces the problems of blow-up rate to Fujita-type theorems. In addition, we also give some new Fujita-type theorems for higher-order semilinear parabolic equations and systems with the time variable on R. These results are not restricted to positive solutions. (c) 2007 Elsevier Inc. All rights reserved.; Mathematics, Applied; Mathematics; SCI(E); 0; ARTICLE; 1; 248-258; 339
语种	英语
出处	SCI
出版者	数学分析与应用杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157822]
专题	数学科学学院
推荐引用方式 GB/T 7714	Pan, Hongjing,Xing, Ruixiang. Blow-up rates for higher-order semilinear parabolic equations and systems and some Fujita-type theorems. 2008-01-01.

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