Regular attractors of semigroups and evolution equations
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.
strongly continuous semigroup of nonlinear operators on a Banach space
nonlinear parabolic and hyperbolic equations
scientific article; zbMATH DE number 3901501