scholarly journals Long-time behavior for a class of degenerate parabolic equations

2014 ◽  
Vol 34 (7) ◽  
pp. 2873-2892 ◽  
Author(s):  
Hongtao Li ◽  
◽  
Shan Ma ◽  
Chengkui Zhong ◽  
◽  
...  
Keyword(s):  
Parabolic Equations ◽  
Degenerate Parabolic Equations ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Long Time ◽  
Degenerate Parabolic

scholarly journals Global Attractor for Doubly Nonlinear Parabolic Equation

2012 ◽  
Vol 2012 ◽  
pp. 1-16
Author(s):  
Yongjun Li ◽  
Suyun Wang ◽  
Yanhong Zhang
Keyword(s):  
Parabolic Equation ◽  
Global Attractor ◽  
Parabolic Equations ◽  
Nonlinear Parabolic Equations ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Nonlinear Parabolic ◽  
Long Time ◽  
Doubly Nonlinear ◽  
Doubly Nonlinear Parabolic Equation

Our aim in this paper is to study the long-time behavior for a class of doubly nonlinear parabolic equations. First we show that the problem has a unique solution. Then we prove that the semigroup corresponding to the problem is norm-to-weak continuous in Lq and H01. Finally we establish the existence of global attractor of the problem in Lq and H01.

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