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

Journal Article · · Applied Mathematics and Optimization
DOI:https://doi.org/10.1007/S002459900102· OSTI ID:21064288
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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, Journal Name: Applied Mathematics and Optimization Journal Issue: 2 Vol. 39; ISSN 0095-4616
Country of Publication:
United States
Language:
English

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Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONTROL THEORY
EQUATIONS
HAMILTONIANS
NONLINEAR PROBLEMS
OPTIMAL CONTROL