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http://bura.brunel.ac.uk/handle/2438/7255| Title: | Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP |
| Authors: | Ayele, TG Mikhailov, SE |
| Keywords: | Partial differential equations;Variable coefficients;Parametrix;Boundary-domain integral equations;Equivalence;Unique solvability and invertibility |
| Issue Date: | 2011 |
| Publisher: | Steklov Mathematical Institute RAS |
| Citation: | Eurasian Mathematical Journal, 2(3): 20 - 41, 2011 |
| Abstract: | Applying the two-operator approach, the mixed (Dirichlet–Neumann) boundary value problem for a second-order scalar elliptic differential equation with variable coefficients is reduced to several systems of Boundary Domain Integral Equations, briefly BDIEs. The two-operator BDIE system equivalence to the boundary value problem, BDIE solvability and the invertibility of the boundary-domain integral operators are proved in the appropriate Sobolev spaces. |
| Description: | This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Steklov Mathematical Institute RAS. |
| URI: | http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=emj&paperid=60&option_lang=eng http://bura.brunel.ac.uk/handle/2438/7255 |
| ISSN: | 2077-9879 |
| Appears in Collections: | Publications Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Fulltext.pdf | 128.79 kB | Adobe PDF | View/Open |
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