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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.date.accessioned | 2013-07-15T09:38:59Z | - |
dc.date.available | 2013-07-15T09:38:59Z | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | Integral Equations and Operator Theory, 76(4): 509-547, Aug 2013 | en_US |
dc.identifier.issn | 0378-620X | - |
dc.identifier.uri | http://link.springer.com/article/10.1007%2Fs00020-013-2054-4 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/7603 | - |
dc.description | This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer Basel | en_US |
dc.description.abstract | Employing the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and Robin boundary value problems for general variable-coefficient divergence-form second-order elliptic partial differential equations are reduced to some systems of localized boundary-domain singular integral equations. Equivalence of the integral equations systems to the original boundary value problems is proved. It is established that the corresponding localized boundary-domain integral operators belong to the Boutet de Monvel algebra of pseudo-differential operators. Applying the Vishik-Eskin theory based on the factorization method, the Fredholm properties and invertibility of the operators are proved in appropriate Sobolev spaces. | en_US |
dc.description.sponsorship | This research was supported by the grant EP/H020497/1: "Mathematical Analysis of Localized Boundary-Domain Integral Equations for Variable-Coefficient Boundary Value Problems" from the EPSRC, UK. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Springer Basel | en_US |
dc.subject | Partial differential equations | en_US |
dc.subject | Variable coefficients | en_US |
dc.subject | Boundary value problems | en_US |
dc.subject | Localized parametrix | en_US |
dc.subject | Localized potentials | en_US |
dc.subject | Localized boundary-domain integral equations | en_US |
dc.subject | Pseudo-differential equations | en_US |
dc.title | Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/s00020-013-2054-4 | - |
pubs.organisational-data | /Brunel | - |
pubs.organisational-data | /Brunel/Brunel Active Staff | - |
pubs.organisational-data | /Brunel/Brunel Active Staff/School of Info. Systems, Comp & Maths | - |
pubs.organisational-data | /Brunel/Brunel Active Staff/School of Info. Systems, Comp & Maths/Maths | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Information Systems, Computing and Mathematics - URCs and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Information Systems, Computing and Mathematics - URCs and Groups/Brunel Institute of Computational Mathematics | - |
Appears in Collections: | Publications Dept of Mathematics Research Papers Mathematical Sciences |
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Fulltext.pdf | 418.09 kB | Adobe PDF | View/Open |
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