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Subject: Mathematics
Title:
global existence and blow-up of solutions to a nonlocal evolution p-laplace system with nonlinear boundary conditions
Author: Xuesong Wu ; Wenjie Gao ; Jianwen Cao
Keyword: evolution p-Laplacian ; nonlinear boundary value problem ; nonlinear sources ; global existence ; blow-up
Source: Acta Mathematica Scientia
Issued Date: 2011
Volume: 31, Issue:3, Pages:1001 - 1010
Indexed Type: SCIENCEDIRECT
Department: aInstitute of Software ChineseAcademy of Sciences Beijing 100190 China; bInstitute of Mathematics Jilin University Changchun 130012 China
Sponsorship: National High Technology Research and Development Program of China (863 Program)2009AA044501; NSFC10776035, 10771085; Key Lab of Symbolic Computation and Knowledge Engineering of Ministry of Education; Jilin University
Abstract: In this paper, the authors discuss the global existence and blow-up of the solution to an evolution p-Laplace system with nonlinear sources and nonlinear boundary condition. The authors first establish the local existence of solutions, then give a necessary and sufficient condition on the global existence of the positive solution.
English Abstract: In this paper, the authors discuss the global existence and blow-up of the solution to an evolution p-Laplace system with nonlinear sources and nonlinear boundary condition. The authors first establish the local existence of solutions, then give a necessary and sufficient condition on the global existence of the positive solution.
Language: 英语
WOS ID: WOS:000290843200020
Citation statistics:
Content Type: 期刊论文
URI: http://ir.iscas.ac.cn/handle/311060/16021
Appears in Collections:软件所图书馆_期刊论文

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Recommended Citation:
Xuesong Wu,Wenjie Gao,Jianwen Cao. global existence and blow-up of solutions to a nonlocal evolution p-laplace system with nonlinear boundary conditions[J]. Acta Mathematica Scientia,2011-01-01,31(3):1001 - 1010.
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