Cung The Anh, Tang Quoc Bao, Nguyen Van Thanh
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.
Show me the PDF file (341 KB), TEX file, and other files for this article.
| Cung The Anh |
Department of Mathematics
Hanoi National Univiersity of Education
136 Xuan Thuy, Cau Giay, Hanoi, Vietnam
| Tang Quoc Bao |
School of Applied Mathematics and Informatics
Hanoi University of Science and Technology
1 Dai Co Viet, Hai Ba Trung, Hanoi, Vietnam
| Nguyen Van Thanh |
Foreign Languages Specialized School
University Of Languages and International Studies
Hanoi National University
2 Pham Van Dong, Cau Giay, Hanoi, Vietnam
Return to the EJDE web page