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Article

Hu, Shouchuan ; Papageorgiou, Nikolaos S.
Galerkin approximations for nonlinear evolution inclusions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 4, pp. 705-720
MSC: 34A45, 34A60, 34G20, 34G99, 35B10, 35G10, 35K22, 35K25, 35R70 | MR 1321241 | Zbl 0819.34011
Keywords:
Galerkin approximations; evolution triple; monotone operator; hemicontinuous operator; compact embedding; periodic trajectory; tangent cone; connected set; acyclic set
Summary:
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.
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