On Convergence of Solutions of Singularly Perturbed Boundary-Value Problems
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On Convergence of Solutions of Singularly Perturbed Boundary-Value Problems
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| Creator |
Anoshchenko, O.
Lysenko, O. Khruslov, E. |
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| 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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| Date |
2016-09-30T06:58:38Z
2016-09-30T06:58:38Z 2009 |
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| Type |
Article
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| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/106536 |
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| Language |
en
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| Relation |
Журнал математической физики, анализа, геометрии
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| Publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
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