Analysis of Some Localized Boundary–Domain Integral Equations for Transmission Problems with Variable Coefficients

O. Chkadua (), S. E. Mikhailov () and D. Natroshvili ()
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O. Chkadua: A.Razmadze Mathematical Institute
S. E. Mikhailov: Brunel University West London
D. Natroshvili: Georgian Technical University

A chapter in Integral Methods in Science and Engineering, 2011, pp 91-108 from Springer

Abstract: 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.

Keywords: Localize Potential; Transmission Problem; Equivalence Theorem; Green Identity; Local Boundary Integral Equation (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8238-5_10

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DOI: 10.1007/978-0-8176-8238-5_10

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