Item Infomation

Full metadata record
DC FieldValueLanguage
dc.contributor.authorVu Huu Nhu-
dc.date.accessioned2021-09-13T04:24:48Z-
dc.date.available2021-09-13T04:24:48Z-
dc.date.issued2021-
dc.identifier.urihttps://www.tandfonline.com/doi/abs/10.1080/02331934.2021.1939698?journalCode=gopt20-
dc.identifier.urihttps://dlib.phenikaa-uni.edu.vn/handle/PNK/2822-
dc.description.abstractThis work is concerned with second-order necessary and sufficient optimality conditions for optimal control of a non-smooth semilinear elliptic partial differential equation, where the nonlinearity is the non-smooth max-function and thus the associated control-to-state operator is, in general, not Gâteaux-differentiable. In addition to standing assumptions, two main hypotheses are imposed. The first one is the Gâteaux-differentiability at the considered control of the objective functional and it is precisely characterized by the vanishing of an adjoint state on the set of all zeros of the corresponding state. The second one is a structural assumption on the sets of all points at which the values of the interested state are ‘close’ to the non-differentiability point of the max-function. We then derive a ‘no-gap’ theory of second-order optimality conditions in terms of a second-order generalized derivative of the cost functional, i.e. for which the only change between necessary and sufficient second-order optimality conditions are between a strict and non-strict inequality.vi
dc.language.isoengvi
dc.publisherOptimizationvi
dc.subjectoptimal control-
dc.subjectNon-smooth semilinear elliptic equation-
dc.subjectcontrol constraintsvi
dc.titleOn the no-gap second-order optimality conditions for a non-smooth semilinear elliptic optimal controlvi
dc.typeBài tríchvi
eperson.identifier.doihttps://doi.org/10.1080/02331934.2021.1939698-
Appears in Collections
Bài báo khoa học

Files in This Item:

There are no files associated with this item.