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- W2525969799 abstract "In this paper we consider a state constrained differential inclusion$dot xin mathbb A x+ F(t,x)$, with $mathbb A$ generator of a strongly continuous semigroup inan infinite dimensional separable Banach space. Under an``inward pointing condition'' we prove a relaxation result stating thatthe set of trajectories lying in the interior of the constraint is dense in the set ofconstrained trajectories of the convexified inclusion$dot xin mathbb A x+ overline{textrm{co}}F(t,x)$.Some applications to control problems involving PDEs are given." @default.
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- W2525969799 date "2016-01-01" @default.
- W2525969799 modified "2023-10-14" @default.
- W2525969799 title "A relaxation result for state constrained inclusions in infinite dimension" @default.
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- W2525969799 doi "https://doi.org/10.3934/mcrf.2016.6.113" @default.
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