Abstract
In this chapter we want to study the concept of weak solutions to boundary value problems for harmonic functions. We shall extend the classical theory of boundary integral equations as described in the two previous chapters from the spaces of continuous or Holder continuous functions to appropriate Sobolev spaces. For the sake of brevity we will confine ourselves to interior boundary value problems in two dimensions.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Kress, R. (1989). Sobolev Spaces. In: Linear Integral Equations. Applied Mathematical Sciences, vol 82. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97146-4_8
Download citation
DOI: https://doi.org/10.1007/978-3-642-97146-4_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-97148-8
Online ISBN: 978-3-642-97146-4
eBook Packages: Springer Book Archive