Limiting subdifferentials of indefinite integrals |
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Authors: | Nguyen Huy Chieu |
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Institution: | Department of Mathematics, Vinh University, Vinh, Nghe An, Viet Nam |
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Abstract: | We compute the limiting subdifferential of the indefinite integral of the form where f is an essentially bounded measurable function, or a function continuous on an interval containing (except for, possibly, ), or a step-function which has a countable number of steps around . The related problem of computing the Aumann integral of the limiting subdifferential mapping ∂f(⋅), where f is a Lipschitz real function defined on an open set U⊂Rn, is also investigated. |
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Keywords: | Indefinite integral Fré chet subdifferential Limiting subdifferential Aumann integral |
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