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

Ver/Abrir
Identificadores
URI: https://hdl.handle.net/10902/36381
ISSN: 0233-1934
ISSN: 1029-4945
Compartir
Estadísticas
Ver Estadísticas
Google Scholar
Registro completo
Mostrar el registro completo DC
Autoría
Casas Rentería, EduardoAutoridad Unican; Mateos Alberdi, MarianoAutoridad Unican; Rösch, Arnd
Fecha
2025-05
Derechos
© Taylor & Francis. This is an Accepted Manuscript of an article published by Taylor & Francis in Optimization on 2025, available online: https://doi.org/10.1080/02331934.2024.2314242
Publicado en
Optimization, 2025, 74(7), 1551-1571
Editorial
Taylor and Francis Ltd.
Disponible después de
2026-06-01
Enlace a la publicación
Palabras clave
Optimal control
Semilinear partial diferential equations
Optimality conditions
State constraints
Borel measures
Resumen/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 L2(Q). Our results are valid for spatial domains of dimension less than or equal to three.
Colecciones a las que pertenece