Moduli of continuity of selections from nonconvex maps

Alberto Bressan; Fabio Ancona

doi:10.1007/BF01039290

Moduli of continuity of selections from nonconvex maps

Alberto Bressan
, Fabio Ancona

Research output: Contribution to journal › Article › peer-review

Abstract

We consider two continuous selection problems related to the differential inclusion {Mathematical expression} ∈F(t, x). Assuming that F is Hölder or Lipschitz continuous with compact, not necessarily convex values, we provide estimates on the modulus of continuity of these selections.

Original language	English (US)
Pages (from-to)	47-63
Number of pages	17
Journal	Set-Valued Analysis
Volume	1
Issue number	1
DOIs	https://doi.org/10.1007/BF01039290
State	Published - Mar 1993

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1007/BF01039290

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title = "Moduli of continuity of selections from nonconvex maps",

abstract = "We consider two continuous selection problems related to the differential inclusion \{Mathematical expression\} ∈F(t, x). Assuming that F is H{\"o}lder or Lipschitz continuous with compact, not necessarily convex values, we provide estimates on the modulus of continuity of these selections.",

author = "Alberto Bressan and Fabio Ancona",

year = "1993",

month = mar,

doi = "10.1007/BF01039290",

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AU - Ancona, Fabio

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AB - We consider two continuous selection problems related to the differential inclusion {Mathematical expression} ∈F(t, x). Assuming that F is Hölder or Lipschitz continuous with compact, not necessarily convex values, we provide estimates on the modulus of continuity of these selections.

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Moduli of continuity of selections from nonconvex maps

Abstract

All Science Journal Classification (ASJC) codes

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