ANALYSIS OF DIRECT SEGREGATED BOUNDARY-DOMAIN INTEGRAL EQUATIONS FOR VARIABLE-COEFFICIENT MIXED BVPs IN EXTERIOR DOMAINS-Reference-Cited by-同舟云学术

ANALYSIS OF DIRECT SEGREGATED BOUNDARY-DOMAIN INTEGRAL EQUATIONS FOR VARIABLE-COEFFICIENT MIXED BVPs IN EXTERIOR DOMAINS

Published:2013-06-18 Issue:04 Volume:11 Page:1350006
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

CHKADUA O.¹,MIKHAILOV S. E.²,NATROSHVILI D.³

Affiliation:

1. A. Razmadze Mathematical Institute, I. Javakhishvili Tbilisi State University, 2, University St., Tbilisi 0186, Georgia

2. Department of Mathematics, Brunel University London, Uxbridge, UB8 3PH, UK

3. Department of Mathematics, Georgian Technical University, 77, M. Kostava St., Tbilisi 0175, Georgia

Abstract

Direct segregated systems of boundary-domain integral equations are formulated for the mixed (Dirichlet–Neumann) boundary value problems for a scalar second-order divergent elliptic partial differential equation with a variable coefficient in an exterior three-dimensional domain. The boundary-domain integral equation system equivalence to the original boundary value problems and the Fredholm properties and invertibility of the corresponding boundary-domain integral operators are analyzed in weighted Sobolev spaces suitable for infinite domains. This analysis is based on the corresponding properties of the BVPs in weighted Sobolev spaces that are proved as well.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530513500061

Reference27 articles.

1. Dirichlet and neumann exterior problems for the n-dimensional laplace operator an approach in weighted sobolev spaces

2. Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient, I: Equivalence and invertibility

3. Analysis of segregated boundary-domain integral equations for variable-coefficient problems with cracks

4. Boundary Integral Operators on Lipschitz Domains: Elementary Results

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