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

J.-P. Raymond | Zendy; Hasnaa Zidani | Zendy

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

Author(s) -

J.-P. Raymond,

Hasnaa Zidani

Publication year - 1999

Publication title -

applied mathematics and optimization

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 51

eISSN - 1432-0606

pISSN - 0095-4616

DOI - 10.1007/s002459900102

Subject(s) - mathematics , pontryagin's minimum principle , maximum principle , optimal control , bounded function , hamiltonian (control theory) , nonlinear system , parabolic partial differential equation , mathematical analysis , boundary (topology) , partial differential equation , mathematical optimization , physics , quantum mechanics

International audienceIn 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

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