Stability of the Laplace Single Layer Boundary Integral Operator in Sobolev Spaces

O. Steinbach ()
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O. Steinbach: TU Graz

Chapter Chapter 26 in Integral Methods in Science and Engineering, Volume 1, 2017, pp 293-303 from Springer

Abstract: Abstract We prove a stability estimate for the Laplace single layer boundary integral operator which generalizes the well known ellipticity estimate to ensure unique solvability of related boundary integral equations.

Keywords: Boundary Integral Equation; Unique Solvability; Domain Variational Formulation; Interior Dirichlet Boundary Value Problem; Petrov-Galerkin Formulation (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-59384-5_26

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DOI: 10.1007/978-3-319-59384-5_26

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