On the Convergence of a Nonlinear Boundary-Value Problem in a Perforated Domain
We consider a family with respect to a small parameter of nonlinear boundary-value problems as well as the corresponding spectral problems in a domain perforated periodically along a part of the boundary. We prove the convergence of solution of the original problems to the solution of the respective...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2015/392479 |
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| _version_ | 1832553726949195776 |
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| author | Yulia Koroleva |
| author_facet | Yulia Koroleva |
| author_sort | Yulia Koroleva |
| collection | DOAJ |
| description | We consider a family with respect to a small parameter of nonlinear boundary-value problems as well as the corresponding spectral problems in a domain perforated periodically along a
part of the boundary. We prove the convergence of solution of the original problems to the solution of the respective homogenized problem in this domain. |
| format | Article |
| id | doaj-art-0bd2ac2b7324419aa824d1114916b8c2 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-0bd2ac2b7324419aa824d1114916b8c22025-02-03T05:53:24ZengWileyInternational Journal of Differential Equations1687-96431687-96512015-01-01201510.1155/2015/392479392479On the Convergence of a Nonlinear Boundary-Value Problem in a Perforated DomainYulia Koroleva0Department of Higher Mathematics, Gubkin Russian State University of Oil and Gas, Leninsky Prospect 65-1, Moscow 119991, RussiaWe consider a family with respect to a small parameter of nonlinear boundary-value problems as well as the corresponding spectral problems in a domain perforated periodically along a part of the boundary. We prove the convergence of solution of the original problems to the solution of the respective homogenized problem in this domain.http://dx.doi.org/10.1155/2015/392479 |
| spellingShingle | Yulia Koroleva On the Convergence of a Nonlinear Boundary-Value Problem in a Perforated Domain International Journal of Differential Equations |
| title | On the Convergence of a Nonlinear Boundary-Value Problem in a Perforated Domain |
| title_full | On the Convergence of a Nonlinear Boundary-Value Problem in a Perforated Domain |
| title_fullStr | On the Convergence of a Nonlinear Boundary-Value Problem in a Perforated Domain |
| title_full_unstemmed | On the Convergence of a Nonlinear Boundary-Value Problem in a Perforated Domain |
| title_short | On the Convergence of a Nonlinear Boundary-Value Problem in a Perforated Domain |
| title_sort | on the convergence of a nonlinear boundary value problem in a perforated domain |
| url | http://dx.doi.org/10.1155/2015/392479 |
| work_keys_str_mv | AT yuliakoroleva ontheconvergenceofanonlinearboundaryvalueprobleminaperforateddomain |