Shouchuan Hu , Nikolaos S. Papageorgiou
Galerkin approximations for nonlinear evolution inclusions

Comment.Math.Univ.Carolinae 35,4 (1994) 705-720.

Abstract:In this paper we study the convergence properties of the Galerkin approximations to a nonlinear, nonautonomous evolution inclusion and use them to determine the structural properties of the solution set and establish the existence of periodic solutions. An example of a multivalued parabolic p.d.e. is also worked out in detail.

Keywords: Galerkin approximations, evolution triple, monotone operator, hemicontinuous operator, compact embedding, periodic trajectory, tangent cone, connected set, acyclic set
AMS Subject Classification: 34G99, 35B10, 35K22, 35R70