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Title: Analysis of some localized boundary-domain integral equations for transmission problems with variable coefficients
Authors: 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. 91 - 108, Jul 2011
Abstract: Some segregated systems of direct localized boundary-domain integral equations (LBDIEs) associated with several transmission problems for scalar PDEs with variable coefficients are formulated and analyzed for a bounded domain composed of two subdomains with a coefficient jump over the interface. The main results established in the paper are the LBDIE equivalence to the original transmission problems and the invertibility of the corresponding localized boundary-domain integral operators in corresponding Sobolev spaces function spaces.
Description: This is the post-print version of the Article. The official published version can be found at the links below - Copyright @ 2011 Birkhäuser Boston.
ISBN: 0817682376
Appears in Collections:Publications
Dept of Mathematics Research Papers
Mathematical Sciences

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