Value Functions and Optimality Conditions for Semilinear Control Problems. II: Parabolic Case

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3554 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3554 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3554 archive 351 disk0/00/00/35/33 2016-01-15 02:01:11 2021-08-27 17:14:02 2016-01-15 02:01:11 monograph show 2 Cannarsa P. Frankowska H. AL0659 Value Functions and Optimality Conditions for Semilinear Control Problems. II: Parabolic Case pub iis_mod iis_sys prog_sds In this paper the authors study properties of the value function and of optimal solutions of a semilinear Mayer problem in infinite dimensions. Applications concern systems governed by a state equation of parabolic type. In particular, the issues of the joint Lipschitz continuity and semiconcavity of the value function are treated in order to investigate the differentiability of the value function along optimal trajectories. 1991-09 published WP-91-032 WP-91-032 10 1884 public working_paper IIASA, Laxenburg, Austria 36 FALSE info:eu-repo/semantics/book