Hamiltonian Pontryagin's Principles for Control Problems Governed by Semilinear Parabolic Equations

Journal Article · Mon Mar 15 00:00:00 EST 1999 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S002459900102· OSTI ID:21064288

Raymond, J P; fr, zidani@mip ups-tlse

In this paper we study optimal control problems governed by semilinear parabolic equations. We obtain necessary optimality conditions in the form of an exact Pontryagin's minimum principle for distributed and boundary controls (which can be unbounded) and bounded initial controls. These optimality conditions are obtained thanks to new regularity results for linear and nonlinear parabolic equations.

• OSTI ID: 21064288
• Journal Information: Applied Mathematics and Optimization, Vol. 39, Issue 2; Other Information: DOI: 10.1007/s002459900102; Copyright (c) 1999 Springer-Verlag New York Inc.; Article Copyright (c) Inc. 1999 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
EQUATIONS
HAMILTONIANS
NONLINEAR PROBLEMS
OPTIMAL CONTROL