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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：吉林大学
学位：博士
所在单位：数学科学学院
学科：基础数学
办公地点：创新园大厦 A1032
电子邮箱：snzheng@dlut.edu.cn
Optimal conditions of non-simultaneous blow-up and uniform blow-up profiles in localized parabolic equations
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论文类型：期刊论文
发表时间：2010-01-15
发表刊物：NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
收录刊物：SCIE、EI、Scopus
卷号：72
期号：2
页面范围：867-875
ISSN号：0362-546X
关键字：Non-simultaneous blow-up; Simultaneous blow-up; Uniform blow-up profile
摘要：This paper deals with localized parabolic equations u(t) = Delta u + u(m)(x(0), t)e(pv(x0,t)), v(t) = Delta u + u(q)(x(0), t)e(nv(x0,f)) with homogeneous Dirichlet boundary conditions, where x(0) is any fixed point in a bounded domain of R(N). The optimal classification of non-simultaneous and simultaneous blow-up phenomena is proposed for all of the nonnegative exponents. Moreover, uniform blow-up profiles are obtained for all kinds of simultaneous blow-up solutions. (C) 2009 Elsevier Ltd. All rights reserved.