Attractor For Semigroup Research Articles

Attractors for semigroups with multi-dimensional time and PDEs in unbounded domains

We develop the attractors theory for the semigroups with multidimensional time belonging to some closed cone in an Euclidean space and apply the obtained general results to partial differential equations (PDEs) in unbounded domains. The main attention is payed to elliptic boundary problems in general unbounded domains. In contrast to the previous works in this direction our theory does not require the underlying domain to be cylindrical or cone-like or to be shift semiinvariant with respect to some direction. In particular, the theory is applicable to the exterior domains.

Remarks on the global attractors of semigroups having a Lyapunov functional

Remarks on the global attractors of semigroups having a Lyapunov functional

Attractors for Semigroups and Evolution Equations (Olga Ladyzhenskaya)

Attractors for Semigroups and Evolution Equations (Olga Ladyzhenskaya)