Cao Yang
Professor Supervisor of Doctorate Candidates Supervisor of Master's Candidates
Gender:Female
Alma Mater:Jilin University
Degree:Doctoral Degree
School/Department:School of Mathematical Sciences
Discipline:Applied Mathematics
E-Mail:mathcy@dlut.edu.cn
Hits:
Indexed by:期刊论文
Date of Publication:2014-02-01
Journal:APPLIED MATHEMATICS LETTERS
Included Journals:SCIE、EI、Scopus
Volume:28
Page Number:1-6
ISSN No.:0893-9659
Key Words:Sobolev equation; Blow-up; Finite time
Abstract: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.
