Infinite horizon optimal control for a general class of semilinear parabolic equations

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URI: https://hdl.handle.net/10902/29303
ISSN: 0095-4616
ISSN: 1432-0606
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Autoría
Casas Rentería, EduardoAutoridad Unican; Kunisch, Karl
Fecha
2023-10
Derechos
Attribution 4.0 International
Publicado en
Applied Mathematics and Optimization, 2023, 88(2), 47
Editorial
Springer
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Palabras clave
Infinite horizon optimal control
Semilinear parabolic equations
First and second order optimality conditions
L∞ regularity
Resumen/Abstract
A class of infinite horizon optimal control problems subject to semilinear parabolic equations is investigated. First and second order optimality conditions are obtained, in the presence of constraints on the controls, which can be either pointwise in space-time, or pointwise in time and L2 in space. These results rely on a new L∞ estimate for nonlinear parabolic equations in an essential manner.
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