Title :
Global existence and blow-up for a parabolic system with nonlocal sources
Author :
Zeng, Youdong ; Chen, Qinglai
Author_Institution :
Coll. of Math. & Comput. Sci., Fuzhou Univ., Fuzhou, China
Abstract :
This paper deals with the global existence and the blow-up properties of the nonnegative solutions to a semilinear parabolic system with nonlocal sources, subjected to null Dirichlet boundary conditions. By using the upper-lower solution method, the sufficient conditions on the global existence and blow-up in finite time of the nonnegative solutions are obtained.
Keywords :
parabolic equations; reaction-diffusion systems; blow-up properties; global existence properties; nonlocal sources; null Dirichlet boundary conditions; semilinear parabolic system; upper-lower solution method; Boundary conditions; Computer science; Equations; Nonhomogeneous media; Sufficient conditions; Thermal analysis; blow-up; globa existence; parabolic system; subsolution; supersolution;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002625
