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Second Order Sufficient Optimality Conditions for Nonlinear Parabolic Control Problems with State Constraints

In this paper, optimal control problems for semilinear parabolic equations with
distributed and boundary controls are considered. Pointwise constraints on the control and on
the state are given. Main emphasis is laid on the discussion of second order sufficient optimality
conditions. Sufficiency for local optimality is verified under different assumptions imposed
on the dimension of the domain and on the smoothness of the given data.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:17476
Date30 October 1998
CreatorsRaymond, Jean-Pierre, Tröltzsch, Fredi
PublisherTechnische Universität Chemnitz
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:preprint, info:eu-repo/semantics/preprint, doc-type:Text
Rightsinfo:eu-repo/semantics/openAccess

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