Please use this identifier to cite or link to this item:
http://bura.brunel.ac.uk/handle/2438/7256
Title: | Localized boundary-domain integral equation formulation for mixed type problems |
Authors: | Chkadua, O Mikhailov, SE Natroshvili, D |
Keywords: | Partial differential equation;Variable coefficients;Mixed problem;Localized parametrix;Localized boundary-domain integral equations;Pseudo-differential operators |
Issue Date: | 2010 |
Publisher: | Walter de Gruyter GmbH |
Citation: | Georgian Mathematical Journal 17(3): 469 - 494, Jul 2010 |
Abstract: | Some modified direct localized boundary-domain integral equations (LBDIEs) systems associated with the mixed boundary value problem (BVP) for a scalar “Laplace” PDE with variable coefficient are formulated and analyzed. The main results established in the paper are the LBDIEs equivalence to the original variable-coefficient BVPs and the invertibility of the corresponding localized boundary-domain integral operators in appropriately chosen function spaces. |
Description: | Copyright @ 2010 Walter de Gruyter GmbH |
URI: | http://www.degruyter.com/view/j/gmj.2010.17.issue-3/gmj.2010.025/gmj.2010.025.xml http://bura.brunel.ac.uk/handle/2438/7256 |
DOI: | http://dx.doi.org/10.1515/gmj.2010.025 |
ISSN: | 1072-947X |
Appears in Collections: | Publications Dept of Mathematics Research Papers Mathematical Sciences |
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