Existence of Optimal Controls for Semilinear Parabolic Equations without Cesari-Type Conditions

Journal Article · Wed Mar 12 00:00:00 EST 2003 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S00245-002-0756-0· OSTI ID:21067476

Lou, H.W. ^[1]

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1. Mathematical Department, Fudan University, Shanghai 200433 (China), E-mail: [e-mail]

Optimal control problems governed by semilinear parabolic partial differential equations are considered. No Cesari-type conditions are assumed. By proving the existence theorem and the Pontryagin maximum principle of optimal 'state-control' pairs for the corresponding relaxed problems, an existence theorem of optimal pairs for the original problem is established.

• OSTI ID: 21067476
• Journal Information: Applied Mathematics and Optimization, Vol. 47, Issue 2; Other Information: DOI: 10.1007/s00245-002-0756-0; Copyright (c) 2003 Springer-Verlag New York Inc.; Article Copyright (c) Inc. 2003 Springer-Verlag New York; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONTROL THEORY
OPTIMAL CONTROL
PARTIAL DIFFERENTIAL EQUATIONS