WIAS Preprint No. 1695, (2012)

A criterion for a two-dimensional domain to be Lipschitzian



Authors

  • Rehberg, Joachim

2010 Mathematics Subject Classification

  • 35A01 57N40 57N50

Keywords

  • Elliptic/parabolic problems, bi-Lipschitzian parametrization

Abstract

We prove that a two-dimensional domain is already Lipschitzian if only its boundary admits locally a one-dimensional, bi-Lipschitzian parametrization.

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