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DC Field | Value | Language |
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dc.contributor.author | Mikhailov, SE | - |
dc.date.accessioned | 2018-07-30T09:59:59Z | - |
dc.date.available | 2018-12-01 | - |
dc.date.available | 2018-07-30T09:59:59Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | Boundary Value Problems, 2018, 2018 (1) | en_US |
dc.identifier.issn | 1687-2762 | - |
dc.identifier.issn | 1687-2770 | - |
dc.identifier.uri | https://bura.brunel.ac.uk/handle/2438/16657 | - |
dc.description.abstract | Segregated direct boundary-domain integral equations (BDIEs) based on a parametrix and associated with the Dirichlet and Neumann boundary value problems for the linear stationary diffusion partial differential equation with a variable Hölder-continuous coefficients on Lipschitz domains are formulated. The PDE right-hand sides belong to the Sobolev (Bessel potential) space Hs−2(Ω ) or H˜s−2(Ω ) , 12<s<32, when neither strong classical nor weak canonical co-normal derivatives are well defined. Equivalence of the BDIEs to the original BVP, BDIE solvability, solution uniqueness/non-uniqueness, and the Fredholm property and invertibility of the BDIE operators are analysed in appropriate Sobolev spaces. It is shown that the BDIE operators for the Neumann BVP are not invertible; however, some finite-dimensional perturbations are constructed leading to invertibility of the perturbed (stabilised) operators. | en_US |
dc.description.sponsorship | EPSRC | en_US |
dc.language.iso | en | en_US |
dc.publisher | SpringerOpen | en_US |
dc.subject | Partial differential equations | en_US |
dc.subject | Non-smooth coefficients | en_US |
dc.subject | Sobolev spaces | en_US |
dc.subject | Parametrix | en_US |
dc.subject | Integral equations | en_US |
dc.subject | Equivalence | en_US |
dc.title | Analysis of segregated boundary-domain integral equations for BVPs with non-smooth coefficients on Lipschitz domains | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1186/s13661-018-0992-0 | - |
dc.relation.isPartOf | Boundary Value Problems | - |
pubs.issue | 1 | - |
pubs.publication-status | Accepted | - |
pubs.volume | 2018 | - |
dc.identifier.eissn | 1687-2770 | - |
Appears in Collections: | Dept of Mathematics Research Papers |
Files in This Item:
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Fulltext.pdf | 1.93 MB | Adobe PDF | View/Open |
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