Set-valued perturbation for time dependent subdifferential operator
DOI:
https://doi.org/10.12775/TMNA.2015.054Keywords
Evolution problem, time dependent subdifferential operator, upper hemicontinuous set-valued perturbation, absolutely continuous solutionAbstract
In a separable Hilbert space, we consider an evolution inclusion involving time-dependent subdifferential of a proper convex lower semicontinuous function with a set-valued perturbation depending on both time and state variable. We prove, under a compactness condition on the perturbation, that there exists at least one absolutely continuous solution.Downloads
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2015-09-01
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1.
SAÏDI, Soumia and YAROU, Mustapha Fateh. Set-valued perturbation for time dependent subdifferential operator. Topological Methods in Nonlinear Analysis. Online. 1 September 2015. Vol. 46, no. 1, pp. 447 - 470. [Accessed 18 April 2024]. DOI 10.12775/TMNA.2015.054.
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