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

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.

 Autoría: Casas E., Kunisch K.,

 Fuente: Applied Mathematics and Optimization, 2023, 88(2), 47

 Editorial: Springer

 Fecha de publicación: 01/10/2023

 Nº de páginas: 36

 Tipo de publicación: Artículo de Revista

 DOI: 10.1007/s00245-023-10006-4

 ISSN: 0095-4616,1432-0606

 Proyecto español: PID2020-114837GB-I00

 Url de la publicación: https://doi.org/10.1007/s00245-023-10006-4