## Regular attractors of semigroups and evolution equations.(English)Zbl 0565.47045

Let $$S=(S_ t)_{t\leq 0}$$ be a strongly continuous semigroup of nonlinear operators on a Banach space E. In the paper sufficient conditions on S are given for the existence of a maximal attractor which can be represented as a finite union of instable manifolds. The abstract results are applied to nonlinear parabolic and hyperbolic equations.
Reviewer: M.Wolff

### MSC:

 47H20 Semigroups of nonlinear operators 58D07 Groups and semigroups of nonlinear operators 35K55 Nonlinear parabolic equations 35B35 Stability in context of PDEs 35B40 Asymptotic behavior of solutions to PDEs