Geodesic
Galerkin approximations for nonlinear evolution inclusions
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 4, pp. 705-720.

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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.
Classification : 34A45, 34A60, 34G20, 34G99, 35B10, 35G10, 35K22, 35K25, 35R70
Keywords: Galerkin approximations; evolution triple; monotone operator; hemicontinuous operator; compact embedding; periodic trajectory; tangent cone; connected set; acyclic set 
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     author = {Hu, Shouchuan and Papageorgiou, Nikolaos S.},
     title = {Galerkin approximations for nonlinear evolution inclusions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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     publisher = {mathdoc},
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     number = {4},
     year = {1994},
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     zbl = {0819.34011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1994__35_4_a11/}
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Hu, Shouchuan; Papageorgiou, Nikolaos S. Galerkin approximations for nonlinear evolution inclusions. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 4, pp. 705-720. http://geodesic.mathdoc.fr/item/CMUC_1994__35_4_a11/