Hamiltonian Pontryagin's principles for control problems governed by semilinear parabolic equations

Authors
Raymond, JP Zidani, H
Citation
Jp. Raymond et H. Zidani, Hamiltonian Pontryagin's principles for control problems governed by semilinear parabolic equations, APPL MATH O, 39(2), 1999, pp. 143-177
Citations number
31
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS AND OPTIMIZATION
ISSN journal
00954616 → ACNP
Volume
39
Issue
2
Year of publication
1999
Pages
143 - 177
Database
ISI
SICI code
0095-4616(199903/04)39:2<143:HPPFCP>2.0.ZU;2-H
Abstract
In this paper we study optimal control problems governed by semilinear para bolic equations. We obtain necessary optimality conditions in the form of a n exact Pontryagin's minimum principle for distributed and boundary control s (which can be unbounded) and bounded initial controls. These optimality c onditions are obtained thanks to new regularity results for linear and nonl inear parabolic equations.