Global existence and blow-up of solutions for a higher-order Kirchhoff-type equation with nonlinear dissipation

doi:10.1016/j.aml.2003.07.014

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	Global existence and blow-up of solutions for a higher-order Kirchhoff-type equation with nonlinear dissipation
	Li, FC
	2004-12-01
发表期刊	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
卷号	17 期号:12 页码:1409-1414
摘要	This paper deals with the higher-order Kirchhoff-type equation with nonlinear dissipation u(tt) + (integral(Omega) \D(m)u\ dx)(q) (-Delta)(m)u + u(t)\u(t)\(r) = \u\(P)u, x is an element of Omega, t > 0, in a bounded domain, where m > 1 is a positive integer, q, p, r > 0 are positive constants. We obtain that the solution exists globally if p less than or equal to r, while if p > max{r, 2q}, then for any initial data with negative initial energy, the solution blows up at finite time in Lp+2 norm. (C) 2004 Elsevier Ltd. All rights reserved.
关键词	higher-order Kirchhoff-type equation nonlinear dissipation global existence blow-up
DOI	10.1016/j.aml.2003.07.014
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000225666400015
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/549
专题	中国科学院数学与系统科学研究院
通讯作者	Li, FC
作者单位	CAS, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, FC. Global existence and blow-up of solutions for a higher-order Kirchhoff-type equation with nonlinear dissipation[J]. APPLIED MATHEMATICS LETTERS,2004,17(12):1409-1414.
APA	Li, FC.(2004).Global existence and blow-up of solutions for a higher-order Kirchhoff-type equation with nonlinear dissipation.APPLIED MATHEMATICS LETTERS,17(12),1409-1414.
MLA	Li, FC."Global existence and blow-up of solutions for a higher-order Kirchhoff-type equation with nonlinear dissipation".APPLIED MATHEMATICS LETTERS 17.12(2004):1409-1414.