On Convergence of Solutions of Singularly Perturbed Boundary-Value Problems

dc.contributor.author	Anoshchenko, O.
dc.contributor.author	Lysenko, O.
dc.contributor.author	Khruslov, E.
dc.date.accessioned	2016-09-30T06:58:38Z
dc.date.available	2016-09-30T06:58:38Z
dc.date.issued	2009
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1812-9471
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/106536
dc.description.abstract	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України	uk_UA
dc.relation.ispartof	Журнал математической физики, анализа, геометрии
dc.title	On Convergence of Solutions of Singularly Perturbed Boundary-Value Problems	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA