Abstract
Homogeneous, linear elliptic boundary value problems with constant coefficients can be transformed into boundary integral equations by using the integral equation method. In this chapter we will introduce the relevant boundary integral operators and we will derive the most important mapping properties and representations. We will also present the boundary integral equations for the boundary value problems from the previous chapter. Finally, we will prove the appropriate results on existence and uniqueness for these boundary integral equations.
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© 2010 Springer Berlin Heidelberg
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Sauter, S.A., Schwab, C. (2010). Elliptic Boundary Integral Equations. In: Boundary Element Methods. Springer Series in Computational Mathematics, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68093-2_3
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DOI: https://doi.org/10.1007/978-3-540-68093-2_3
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-68092-5
Online ISBN: 978-3-540-68093-2
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