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Title: Analysis of segregated boundary-domain integral equations for mixed variable-coefficient BVPs in exterior domains
Authors: Chkadua, O
Mikhailov, SE
Natroshvili, D
Issue Date: 2011
Publisher: Birkhäuser Boston
Citation: In Constanda, C; Harris, PJ (Ed(s)), Integral Methods in Science and Engineering: pp. 109 - 128, Jul 2011
Abstract: Some direct segregated systems of boundary–domain integral equations (LBDIEs) associated with the mixed boundary value problems for scalar PDEs with variable coefficients in exterior domains are formulated and analyzed in the paper. The LBDIE equivalence to the original boundary value problems and the invertibility of the corresponding boundary–domain integral operators are proved in weighted Sobolev spaces suitable for exterior domains. This extends the results obtained by the authors for interior domains in non-weighted Sobolev spaces.
Description: This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Birkhäuser Boston.
ISBN: 0817682376
Appears in Collections:Publications
Dept of Mathematics Research Papers
Mathematical Sciences

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