We approximate from the exterior an upper semicontinuousmultifunction C(t) from a metric space into the closed convex subsets of a normed space by means of globally Lipschitzean multifunctions; in particular, when C(t) is continuous, this approximation allows to reduce the problem of the existence of solutions of the associated evolution equation to the case in which C(t) is Lipschitzian.
Approximation from the exterior of a multifunction and its applications in the sweeping process / Gavioli, Andrea. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 92:(1991), pp. 373-383.
Approximation from the exterior of a multifunction and its applications in the sweeping process
GAVIOLI, Andrea
1991
Abstract
We approximate from the exterior an upper semicontinuousmultifunction C(t) from a metric space into the closed convex subsets of a normed space by means of globally Lipschitzean multifunctions; in particular, when C(t) is continuous, this approximation allows to reduce the problem of the existence of solutions of the associated evolution equation to the case in which C(t) is Lipschitzian.
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