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    Optimal control of semilinear elliptic equations in measure spaces

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    Identificadores
    URI: http://hdl.handle.net/10902/4583
    DOI: 10.1137/13092188X
    ISSN: 1095-7138
    ISSN: 0363-0129
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    Author
    Casas Rentería, EduardoAutoridad Unican; Kunisch, Karl
    Date
    2014
    Derechos
    © 2014 Society for Industrial and Applied Mathematics
    Publicado en
    Siam Journal on Control and Optimization, 2014, 52(1), 339-364
    Publisher
    Society for Industrial and Applied Mathematics
    Palabras clave
    Measure controls
    Optimal control
    Sparsity
    Semilinear elliptic equation
    First and second order optimality conditions
    Stability analysis
    Abstract:
    Optimal control problems in measure spaces governed by semilinear elliptic equations are considered. First order optimality conditions are derived and structural properties of their solutions, in particular sparsity, are discussed. Necessary and sufficient second order optimality conditions are obtained as well. On the basis of the sufficient conditions, stability of the solutions is analyzed. Highly nonlinear terms can be incorporated by utilizing an L∞(Ω) regularity result for solutions of the first order necessary optimality conditions.
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    • D20 Artículos [351]
    • D20 Proyectos de Investigación [221]

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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