Cung The Anh, Tang Quoc Bao, Nguyen Van Thanh
Abstract:
We consider the stochastic semilinear degenerate parabolic equation
in a bounded domain
, with the nonlinearity
satisfies an arbitrary polynomial growth condition.
The random dynamical system generated by the equation is shown
to have a random attractor
in
.
The results obtained improve some recent ones for stochastic
semilinear degenerate parabolic equations.
Submitted September 27, 2012. Published November 25, 2012.
Math Subject Classifications: 35B41, 37H10, 35K65.
Key Words: Random dynamical systems; random attractors; regularity;
stochastic degenerate parabolic equations;
asymptotic a priori estimate method.
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Cung The Anh Department of Mathematics Hanoi National Univiersity of Education 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam email: anhctmath@hnue.edu.vn | |
Tang Quoc Bao School of Applied Mathematics and Informatics Hanoi University of Science and Technology 1 Dai Co Viet, Hai Ba Trung, Hanoi, Vietnam email: baotangquoc@gmail.com | |
Nguyen Van Thanh Foreign Languages Specialized School University Of Languages and International Studies Hanoi National University 2 Pham Van Dong, Cau Giay, Hanoi, Vietnam email: thanhnvmath@gmail.com |
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