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arXiv · 1304.7436

Asymptotic expansion for a solution of an elliptic boundary-value problem in a thin cascade domain

Arsen V. Klevtsovskiy·Taras A. Mel'nyk
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Abstract

Asymptotic expansion is constructed and justified for the solution to a nonuniform Neumann boundary-value problem for the Poisson equation with the right-hand side that depends both on longitudinal and transversal variables in a thin cascade domain. Asymptotic energetic and uniform pointwise estimates for the difference between the solution of the initial problem and the solution of the corresponding limiting problem are proved.

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Arsen V. Klevtsovskiy, Taras A. Mel'nyk. 2013-04-28. Asymptotic expansion for a solution of an elliptic boundary-value problem in a thin cascade domain. https://arxiv.org/abs/1304.7436

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