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.
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© 1989 Springer-Verlag Berlin Heidelberg
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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
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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
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