Pullback exponential attractors for evolution processes in Banach spaces: theoretical results. (English) Zbl 1390.37126
The authors consider evolution processes (both with discrete- and continuous-time) in Banach spaces and study the exponential pullback attractors for such processes. They give sufficient conditions for the existence of exponential pullback attractors and obtain new estimates of their fractal dimension.
Reviewer: Sergei Yu. Pilyugin (St. Petersburg)
MSC:
| 37L25 | Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems |
| 37B55 | Topological dynamics of nonautonomous systems |
| 37L30 | Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35B41 | Attractors |
