On Convergence of Solutions of Singularly Perturbed Boundary-Value Problems
A perturbation of the Poisson equation by a biharmonic operator with a small multiplier ε is considered. The asymptotic behavior of the solution of the Dirichlet problem for this equation as ε → 0 is studied. The gradient of the solution is proved to converge to the gradient of the solution to Poiss...
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| Опубліковано в: : | Журнал математической физики, анализа, геометрии |
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| Дата: | 2009 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/106536 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On Convergence of Solutions of Singularly Perturbed Boundary-Value Problems / O. Anoshchenko, O. Lysenko, E. Khruslov // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 2. — С. 115-122. — Бібліогр.: 6 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862704567758618624 |
|---|---|
| author | Anoshchenko, O. Lysenko, O. Khruslov, E. |
| author_facet | Anoshchenko, O. Lysenko, O. Khruslov, E. |
| citation_txt | On Convergence of Solutions of Singularly Perturbed Boundary-Value Problems / O. Anoshchenko, O. Lysenko, E. Khruslov // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 2. — С. 115-122. — Бібліогр.: 6 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | A perturbation of the Poisson equation by a biharmonic operator with a small multiplier ε is considered. The asymptotic behavior of the solution of the Dirichlet problem for this equation as ε → 0 is studied. The gradient of the solution is proved to converge to the gradient of the solution to Poisson equation in L₁ (Ω) as ε → 0. The di erence of the gradients is also estimated.
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| first_indexed | 2025-12-07T16:51:26Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106536 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T16:51:26Z |
| publishDate | 2009 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Anoshchenko, O. Lysenko, O. Khruslov, E. 2016-09-30T06:58:38Z 2016-09-30T06:58:38Z 2009 On Convergence of Solutions of Singularly Perturbed Boundary-Value Problems / O. Anoshchenko, O. Lysenko, E. Khruslov // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 2. — С. 115-122. — Бібліогр.: 6 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106536 A perturbation of the Poisson equation by a biharmonic operator with a small multiplier ε is considered. The asymptotic behavior of the solution of the Dirichlet problem for this equation as ε → 0 is studied. The gradient of the solution is proved to converge to the gradient of the solution to Poisson equation in L₁ (Ω) as ε → 0. The di erence of the gradients is also estimated. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии On Convergence of Solutions of Singularly Perturbed Boundary-Value Problems Article published earlier |
| spellingShingle | On Convergence of Solutions of Singularly Perturbed Boundary-Value Problems Anoshchenko, O. Lysenko, O. Khruslov, E. |
| title | On Convergence of Solutions of Singularly Perturbed Boundary-Value Problems |
| title_full | On Convergence of Solutions of Singularly Perturbed Boundary-Value Problems |
| title_fullStr | On Convergence of Solutions of Singularly Perturbed Boundary-Value Problems |
| title_full_unstemmed | On Convergence of Solutions of Singularly Perturbed Boundary-Value Problems |
| title_short | On Convergence of Solutions of Singularly Perturbed Boundary-Value Problems |
| title_sort | on convergence of solutions of singularly perturbed boundary-value problems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106536 |
| work_keys_str_mv | AT anoshchenkoo onconvergenceofsolutionsofsingularlyperturbedboundaryvalueproblems AT lysenkoo onconvergenceofsolutionsofsingularlyperturbedboundaryvalueproblems AT khruslove onconvergenceofsolutionsofsingularlyperturbedboundaryvalueproblems |