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    Second-order optimality conditions for weak and strong local solutions of parabolic optimal control problems

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    SecondOrderOptimalit ... (348.4Kb)
    Identificadores
    URI: http://hdl.handle.net/10902/11155
    DOI: 10.1007/s10013-015-0175-6
    ISSN: 2305-221X
    ISSN: 2305-2228
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    Author
    Casas Rentería, Eduardo; Tröltzsch, Fredi
    Date
    2016-03
    Abstract

    Second-order sufficient optimality conditions are considered for a simplified class of semilinear parabolic equations with quadratic objective functional including distributed and terminal observation. Main emphasis is laid on problems where the objective functional does not include a Tikhonov regularization term. Here, standard second-order conditions cannot be expected to hold. For this case, new second-order conditions are established that are based on different types of critical cones. Depending on the choice of this cones, the second-order conditions are sufficient for local minima that are weak or strong in the sense of calculus of variations.

    Palabras clave
    Optimal control
    Parabolic equations
    Semilinear equation
    Second order optimality conditions
    Weak local minimum
    Strong local minimum
    Derechos
    © Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore. The final publication is available at Springer via https://doi.org/10.1007/s10013-015-0175-6
    Publicado en
    Vietnam Journal of Mathematics, 2016, 44(1), 181-202
    Publisher
    Springer Science + Business Media
    Enlace a la publicación
    https://doi.org/10.1007/s10013-015-0175-6
    Collections to which it belong
    • D20 Artículos [230]
    • D20 Proyectos de Investigación [126]

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    UNIVERSIDAD DE CANTABRIA

    Repositorio realizado por la Biblioteca Universitaria utilizando DSpace software
    Contact Us | Send Feedback
    Metadatos sujetos a:licencia de Creative Commons Reconocimiento 3.0 España