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	About a condition for blow up of solutions of Cauchy problem for a wave equation
	Wang,BX ; Cao,ZC ; Cao ZC(曹镇潮)
	1999-09
关键词	condition for blow up wave equation Cauchy problem
英文摘要	`For the nonlinear wave equation in R-N x R+ (N greater than or equal to 2): partial derivative(2)u(x,t)/partial derivative(t)(2) - a partial derivative/partial derivative(xi)(a/(x) partial derivative/partial derivative(xi)u) = \u\(p-1 u,) in 1980 Kato proved the solution of Cauchy problem may blow rtp infinite time if 1 < p less than or equal to N + 1/N - 1. In the present work his result allowing 1 < p less than or equal to N + 3/N - 1 is improved by using different estimates.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66375]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Wang,BX,Cao,ZC,Cao ZC. About a condition for blow up of solutions of Cauchy problem for a wave equation[J],1999.
APA	Wang,BX,Cao,ZC,&曹镇潮.(1999).About a condition for blow up of solutions of Cauchy problem for a wave equation..
MLA	Wang,BX,et al."About a condition for blow up of solutions of Cauchy problem for a wave equation".(1999).

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