论文成果
Blow-up of solutions of the nonlinear Sobolev equation
- 点击次数：
- 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
- 文献类型：J
- 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.
