Surfaces with Boundary

  • Antonio Galbis
  • Manuel Maestre
Chapter
Part of the Universitext book series (UTX)

Abstract

One of the objectives of this book is to obtain a rigorous proof of a version of Green’s formula for compact subsets of \(\mathbb{R}^2\) whose topological boundary is a regular curve of class C2. These sets are typical examples of what we will call regular 2-surfaces with boundary in \(\mathbb{R}^2\). The analogous three-dimensional example would consist of a compact set of \(\mathbb{R}^3\) whose topological boundary is a regular surface of class C2. The following example is perhaps instructive.

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Antonio Galbis
    • 1
  • Manuel Maestre
    • 1
  1. 1.Depto. Análisis MatemáticoUniversidad de ValenciaValenciaSpain

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