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- Title
Global existence and blow-up of solution for nonlocal reaction diffusion equations.
- Authors
DANG Su-juan; RONG Yue-tang; ZHANG Hang-guo
- Abstract
The initial boundary value problem for a class of reaction diffusion equations with nonlocal source has been studied. First, the different upper solutions have been constructed by the method of upper and lower solution, and combined with comparison principle, the sufficient conditions for existence of the global solution is obtained. Second, the lower solution which blow-up in finite time has been constructed by using eigenvalue function and solution of ordinary differential equation. The sufficient conditions of solution which blow up in finite time have been obtained.
- Subjects
HEAT equation; SOLUTION (Chemistry); FINITE element method; EIGENVALUES; NUMERICAL solutions to differential equations
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2013, Vol 26, Issue 4, p481
- ISSN
1006-8341
- Publication type
Article