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An explicit bound for the Poincaré constant on a Lipschitz domain

Volume 112 / 2017

A. F. M. ter Elst, Keith Ruddell Banach Center Publications 112 (2017), 87-97 MSC: 26D10, 46E35, 35P15. DOI: 10.4064/bc112-0-5

Abstract

We construct an explicit bound for the constant in the Neumann-type Poincaré inequality for a Lipschitz domain. The bound depends on only four parameters for the geometry of the domain.

Authors

  • A. F. M. ter ElstDepartment of Mathematics
    University of Auckland
    Private bag 92019
    Auckland 1142, New Zealand
  • Keith RuddellResearch Institute of Industrial Economics
    Grevgatan 34 - 2fl
    Box 55665
    SE-102 15 Stockholm, Sweden

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