Blow-up and global solutions for quasilinear parabolic equations with Neumann boundary conditions

doi:10.1080/00036810802713818

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	Blow-up and global solutions for quasilinear parabolic equations with Neumann boundary conditions
	Gao, Xuyan 1; Ding, Juntang 1,2; Guo, Bao-Zhu2,3
	2009
发表期刊	APPLICABLE ANALYSIS
ISSN	0003-6811
卷号	88 期号:2 页码:183-191
摘要	Using the upper and lower solution techniques and Hopf's maximum principle, the sufficient conditions for the existence of blow-up positive solution and global positive solution are obtained for a class of quasilinear parabolic equations subject to Neumann boundary conditions. An upper bound for the 'blow-up time', an upper estimate of the 'blow-up rate', and an upper estimate of the global solution are also specified.
关键词	quasilinear parabolic equation blow-up solution global solution Neumann boundary conditions blow-up time
DOI	10.1080/00036810802713818
语种	英语
资助项目	Mathematical Tianyuan Foundation of China[10726041] ; Natural Science Foundation of Shanxi Province[2006011001]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000266276800004
出版者	TAYLOR & FRANCIS 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/8502
专题	系统科学研究所
通讯作者	Ding, Juntang
作者单位	1.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China 2.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, Johannesburg, South Africa 3.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Gao, Xuyan,Ding, Juntang,Guo, Bao-Zhu. Blow-up and global solutions for quasilinear parabolic equations with Neumann boundary conditions[J]. APPLICABLE ANALYSIS,2009,88(2):183-191.
APA	Gao, Xuyan,Ding, Juntang,&Guo, Bao-Zhu.(2009).Blow-up and global solutions for quasilinear parabolic equations with Neumann boundary conditions.APPLICABLE ANALYSIS,88(2),183-191.
MLA	Gao, Xuyan,et al."Blow-up and global solutions for quasilinear parabolic equations with Neumann boundary conditions".APPLICABLE ANALYSIS 88.2(2009):183-191.