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DC Field | Value | Language |
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dc.contributor.author | Chkadua, O | - |
dc.contributor.author | Mikhailov, SE | - |
dc.contributor.author | Natroshvili, D | - |
dc.coverage.spatial | 36 | en |
dc.coverage.spatial | 41 | en |
dc.date.accessioned | 2009-05-29T13:53:27Z | - |
dc.date.available | 2009-05-29T13:53:27Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | Journal of Integral Equations and Applications. 21 (3) 405-445 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/3358 | - |
dc.description.abstract | Some direct segregated localized boundary-domain integral equation (LBDIE) systems associated with the Dirichlet and Neumann boundary value problems (BVP) for a scalar "Laplace" PDE with variable coefficient are formulated and analysed. The parametrix is localized by multiplication with a radial localizing function. Mapping and jump properties of surface and volume integral potentials based on a localized parametrix and constituting the LBDIE systems are studied in a scale of Sobolev (Bessel potential) spaces. The main results established in the paper are the LBDIEs equivalence to the original variable-coefficient BVPs and the invertibility of the LBDIE operators in the corresponding Sobolev spaces. | en |
dc.format.extent | 856391 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Rocky Mountain Mathematics Consortium | en |
dc.subject | Partial Differential Equations | en |
dc.subject | Variable coefficients | en |
dc.subject | Boundary value problems | en |
dc.subject | Parametrix | en |
dc.subject | Localized Boundary-Domain Integral Equations | en |
dc.subject | Pseudo-differential operators | en |
dc.title | Analysis of some localized boundary-domain integral equations | en |
dc.type | Research Paper | en |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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Fulltext.pdf | 289.57 kB | Adobe PDF | View/Open |
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