scholarly journals Long time behavior of solutions to semilinear parabolic equations involving strongly degenerate elliptic differential operators

2012 ◽  
Vol 20 (3) ◽  
pp. 1213-1224 ◽  
Author(s):  
P. T. Thuy ◽  
N. M. Tri
Keyword(s):  
Parabolic Equations ◽  
Differential Operators ◽  
Time Behavior ◽  
Semilinear Parabolic Equations ◽  
Long Time Behavior ◽  
Degenerate Elliptic ◽  
Long Time ◽  
Elliptic Differential Operators ◽  
Strongly Degenerate ◽  
Semilinear 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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