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arXiv · 2401.17621

New second order sufficient optimality conditions for state constrained parabolic control problems

Eduardo Casas·Mariano Mateos·Arnd Rösch
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Abstract

We study a control problem governed by a semilinear parabolic equation with pointwise control and state constraints imposed at every point of the space-time cylinder. We obtain second order sufficient optimality conditions for local optimality in the sense of $L^2(Q)$. Our results are valid for spatial domains of dimension less than or equal to three.

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Eduardo Casas, Mariano Mateos, Arnd Rösch. 2024-01-31. New second order sufficient optimality conditions for state constrained parabolic control problems. https://doi.org/10.1080/02331934.2024.2314242

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