Exponential global attractors for semigroups in metric spaces with applications to differential equations
2011 ◽
Vol 31
(6)
◽
pp. 1641-1667
◽
Keyword(s):
AbstractIn this article semigroups in a general metric space V, which have pointwise exponentially attracting local unstable manifolds of compact invariant sets, are considered. We show that under a suitable set of assumptions these semigroups possess strong exponential dissipative properties. In particular, there exists a compact global attractor which exponentially attracts each bounded subset of V. Applications of abstract results to ordinary and partial differential equations are given.
2016 ◽
Vol 118
(2,3)
◽
pp. 181-208
◽
1977 ◽
Vol 67
(1)
◽
pp. 41-52
◽
2004 ◽
Vol 22
(6)
◽
pp. 1421-1486
◽
2021 ◽
2017 ◽
Vol 46
(3)
◽
pp. 531-555
◽