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

Description

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.

Links & Downloads

1. urn:nbn:de:bsz:ch1-199801014
2. https://monarch.qucosa.de/id/qucosa%3A17476
3. https://monarch.qucosa.de/api/qucosa%3A17476/attachment/ATT-0/
4. https://monarch.qucosa.de/api/qucosa%3A17476/attachment/ATT-1/
5. https://monarch.qucosa.de/api/qucosa%3A17476/attachment/ATT-2/

Tags

info:eu-repo/classification/ddc/510

ddc:510

Boundary control

distributed control

semilinear parabolic equations

sufficient optimality conditions

pointwise state constraints

MSC 49K20

MSC 35J25

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:17476
Date	30 October 1998
Creators	Raymond, Jean-Pierre, Tröltzsch, Fredi
Publisher	Technische Universität Chemnitz
Source Sets	Hochschulschriftenserver (HSSS) der SLUB Dresden
Language	English
Detected Language	English
Type	doc-type:preprint, info:eu-repo/semantics/preprint, doc-type:Text
Rights	info:eu-repo/semantics/openAccess