Blow‐up phenomenon and the exact blow‐up time for a class of pseudo‐parabolic equations with nonlocal source

2020 ◽  
Vol 44 (2) ◽  
pp. 1423-1437
Author(s):  
Ali Khelghati ◽  
Khadijeh Baghaei
Keyword(s):  
Parabolic Equations ◽  
Blow Up ◽  
Nonlocal Source

The Properties of Solutions on a Class of Parabolic System

2013 ◽  
Vol 753-755 ◽  
pp. 2945-2948
Author(s):  
Zong Hu Xiu
Keyword(s):  
Global Existence ◽  
Parabolic System ◽  
Parabolic Equations ◽  
Blow Up ◽  
Sufficient Conditions ◽  
Initial Value ◽  
Nonlocal Source

By the method of up-sub solutions, we consider a class of parabolic equations with nonlocal source. In the paper, we discuss the relation of the coefficients and the importance of the initial value. We get the sufficient conditions for the global existence and finite blow-up of the solutions.

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