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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：女
毕业院校：吉林大学
学位：博士
所在单位：数学科学学院
学科：应用数学
电子邮箱：mathcy@dlut.edu.cn
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Blow-up of solutions of the nonlinear Sobolev equation
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论文类型：期刊论文
发表时间：2014-02-01
发表刊物：APPLIED MATHEMATICS LETTERS
收录刊物：SCIE、EI、Scopus
卷号：28
页面范围：1-6
ISSN号：0893-9659
关键字：Sobolev equation; Blow-up; Finite time
摘要：In this paper, we consider the nonlinear Sobolev equation
u(t) - Delta u(t) - (Delta(q)u)(t) - Delta(q)u - Delta u - u(p)u(x1) = vertical bar u vertical bar(2m)u.
with an initial condition and Dirichlet boundary condition. In different regions divided by p, q, and m, we obtain the sufficient conditions for finite-time blow-up of the solutions, and get the upper and lower bounds of the blow-up time. (C) 2013 Elsevier Ltd. All rights reserved.