Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On Convergence of Solutions of Singularly Perturbed Boundary-Value Problems
Репозиторій DSpace/Manakin
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On Convergence of Solutions of Singularly Perturbed Boundary-Value Problems
Посилання:
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.
Дата:
2009
Переглядів:
801
Завантажень:
399
Анотація:
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.
