Notes on global attractors for a class of semilinear degenerate parabolic equations
C. T. Anh
Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam
L. T. Thuy
Faculty of Mathematics, Hanoi Electric Power University, 235 Hoang Quoc Viet, Tu Liem, Hanoi, Vietnam
Received on September 5, 2011
Accepted on November 13, 2011
Communicated by Dinh Nho Hào
| Abstract. We study the regularity and fractal dimension estimates of global attractors for a class of semilinear degenerate parabolic equations in bounded domains. | |
| Keywords: | semilinear degenerate parabolic equation; global attractor; regularity; fractal dimension; asymptotic a priori estimate method. |
| 2010 Mathematics Subject Classification: 35B41, 35K65, 35D05. | |