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http://bura.brunel.ac.uk/handle/2438/7325
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. |
URI: | http://link.springer.com/chapter/10.1007%2F978-0-8176-8238-5_10# http://bura.brunel.ac.uk/handle/2438/7325 |
DOI: | http://dx.doi.org/10.1007/978-0-8176-8238-5_10 |
ISBN: | 0817682376 9780817682378 |
Appears in Collections: | Publications Dept of Mathematics Research Papers Mathematical Sciences |
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