Abstract
As we have seen in the previous Sections, all the boundary integral operators generated by boundary value problems are compositions of tangential differential operators and boundary potentials defined by normal derivatives of the fundamental solution, its boundary traces including normal derivatives on r and, again, tangential differential operators. This yields the following basic result on joint properties of all boundary integral operators on Г, provided Г ∈ C∞.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer Science+Business Media New York
About this chapter
Cite this chapter
Schatz, A.H., Thomée, V., Wendland, W.L. (1990). The Characterization of Boundary Integral Operators and Galerkin Boundary Element Methods. In: Mathematical Theory of Finite and Boundary Element Methods. DMV Seminar, vol 15. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7630-8_4
Download citation
DOI: https://doi.org/10.1007/978-3-0348-7630-8_4
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-2211-3
Online ISBN: 978-3-0348-7630-8
eBook Packages: Springer Book Archive