scholarly journals Blow-up phenomena in parabolic problems with time dependent coefficients under Dirichlet boundary conditions

2013 ◽  
Vol 141 (7) ◽  
pp. 2309-2318 ◽  
Author(s):  
L. E. Payne ◽  
G. A. Philippin
Keyword(s):  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Blow Up ◽  
Dirichlet Boundary Conditions ◽  
Time Dependent ◽  
Parabolic Problems

scholarly journals A Class of Nonlocal Coupled Semilinear Parabolic System with Nonlocal Boundaries

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Hong Liu ◽  
Haihua Lu
Keyword(s):  
Global Existence ◽  
Boundary Conditions ◽  
Parabolic System ◽  
Dirichlet Boundary ◽  
Blow Up ◽  
Dirichlet Boundary Conditions ◽  
Nonlocal Sources ◽  
Semilinear Parabolic System ◽  
Semilinear Parabolic ◽  
Existence Criteria

We investigate the positive solutions of the semilinear parabolic system with coupled nonlinear nonlocal sources subject to weighted nonlocal Dirichlet boundary conditions. The blow-up and global existence criteria are obtained.

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