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Moduli of continuity of selections from nonconvex maps
Authors:Alberto Bressan and Fabio Ancona
Affiliation:(1) SISSA, Via Beirut 4, 34014 Trieste, Italy;(2) Department of Mathematics, University of Colorado, 80309 Boulder, CO, USA
Abstract:We consider two continuous selection problems related to the differential inclusion
$$dot x$$
isinF(t, x). Assuming thatF is Hölder or Lipschitz continuous with compact, not necessarily convex values, we provide estimates on the modulus of continuity of these selections.
Keywords:34A60  54C65
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