On the Lagrange-Newton-SQP Method for the Optimal Control of Semilinear Parabolic Equations

Description

A class of Lagrange-Newton-SQP methods is investigated for optimal control problems
governed by semilinear parabolic initial- boundary value problems. Distributed and boundary
controls are given, restricted by pointwise upper and lower bounds. The convergence of the method
is discussed in appropriate Banach spaces. Based on a weak second order sufficient optimality condition
for the reference solution, local quadratic convergence is proved. The proof is based on the
theory of Newton methods for generalized equations in Banach spaces.

Links & Downloads

1. urn:nbn:de:bsz:ch1-199800995
2. https://monarch.qucosa.de/id/qucosa%3A17474
3. https://monarch.qucosa.de/api/qucosa%3A17474/attachment/ATT-0/
4. https://monarch.qucosa.de/api/qucosa%3A17474/attachment/ATT-1/
5. https://monarch.qucosa.de/api/qucosa%3A17474/attachment/ATT-2/

Tags

info:eu-repo/classification/ddc/510

ddc:510

optimal control

parabolic equation

semilinear equation

sequential quadratic programming

Lagrange-Newton method

convergence analysis

MSC 49J20

MSC 49M15

MSC 65K10

MSC 49K20

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:17474
Date	30 October 1998
Creators	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