Optimal Control Governed by Stochastic Elliptic Equations with Regular States

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dc.contributor.authorAffognon, Steeven Belvinos
dc.contributor.authorNgare, Philip
dc.contributor.authorDegla, Guy
dc.date.accessioned2022-04-22T14:24:22Z
dc.date.available2022-04-22T14:24:22Z
dc.date.issued2019-08-17
dc.descriptionOptimal control problems are currently among major research topics in applied mathematics, science engineering [1,2] and some related branches.en_US
dc.description.abstractThis study deals with an optimal control problem subject to a stochastic elliptic equation with Dirichlet boundary condition and in which the state process is regular on a stochastic Hilbert space. We prove the existence and uniqueness of the optimal control and provide furthermore necessary and sufficient optimality conditions. The optimal solution is obtained in the case where there is no constraint. Our method is based on variational theory of elliptic boundary problems in Hilbert spacesen_US
dc.description.sponsorshipThe African Union Commission under the Pan African University Program (PAUISTI). World Banken_US
dc.identifier.citationAffognon,S.B., Ngare, P., Degla, G. (2019). Optimal Control Governed by Stochastic Elliptic Equations with Regular States. pg. 733-741. https://doi.org/10.12988/ams.2019.9690en_US
dc.identifier.urihttp://hdl.handle.net/123456789/1424
dc.language.isoenen_US
dc.publisherHikari Ltden_US
dc.relation.ispartofserieshttps://doi.org/10.12988/ams.2019.9690;9
dc.subjectOptimal controlen_US
dc.subjectStochastic elliptic equationsen_US
dc.subjectStochastic Hilbert spaceen_US
dc.subjectStochastic fractional Sobolev spaceen_US
dc.subjectVariational formulationen_US
dc.titleOptimal Control Governed by Stochastic Elliptic Equations with Regular Statesen_US
dc.typeArticleen_US
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