scholarly journals Blow-up and global existence for nonlinear parabolic equations with Neumann boundary conditions

2010 ◽  
Vol 60 (3) ◽  
pp. 670-679 ◽  
Author(s):  
Juntang Ding ◽  
Bao-Zhu Guo
Keyword(s):  
Global Existence ◽  
Boundary Conditions ◽  
Parabolic Equations ◽  
Blow Up ◽  
Neumann Boundary ◽  
Nonlinear Parabolic Equations ◽  
Neumann Boundary Conditions ◽  
Nonlinear Parabolic

Global Existence and Blow-Up in Finite Time of Solutions to One Kind of Reaction-Diffusion Educations with Neumann Boundary Conditions

2014 ◽  
Vol 971-973 ◽  
pp. 1017-1020
Author(s):  
Jun Zhou Shao ◽  
Ji Jun Xu
Keyword(s):  
Global Existence ◽  
Boundary Conditions ◽  
Finite Time ◽  
Blow Up ◽  
Neumann Boundary ◽  
Reaction Diffusion ◽  
Neumann Boundary Conditions ◽  
Reaction Diffusion Equations ◽  
Blowing Up ◽  
Processing Techniques

This paper deals with the properties of one kind of reaction-diffusion equations with Neumann boundary conditions based on the comparison principles. The relations of parameter and the situation of the coupled about equations are used to construct the global existent super-solutions and the blowing-up sub-solutions, and then we obtain the conditions of the global existence and blow-up in finite time solutions with the processing techniques of inequality.

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