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

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Abstract.

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.

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Authors and Affiliations

  1. Université Paul Sabatier, UMR CNRS MIP, 31062 Toulouse cedex 04, France raymond@mip.ups-tlse.fr, zidani@mip.ups-tlse.fr, , , , , , FR

    J. P. Raymond & H. Zidani

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  1. J. P. Raymond
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  2. H. Zidani
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Accepted 17 March 1997

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Raymond, J., Zidani, H. Hamiltonian Pontryagin's Principles for Control Problems Governed by Semilinear Parabolic Equations. Appl Math Optim 39, 143–177 (1999). https://doi.org/10.1007/s002459900102

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  • DOI: https://doi.org/10.1007/s002459900102

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