On Elliptic Boundary-Value Problems with Small Parameter and Additional Functions on the Boundary of a Domain

被引：0

作者：

A. V. Zavorotinskii

机构：

[1] Ukrainian National Academy of Sciences,Institute of Mathematics

[2] Chernihiv National Pedagogic University,undefined

来源：

Ukrainian Mathematical Journal | 2015年 / 66卷

关键词：

Small Parameter; Elliptic Operator; Ukrainian National Academy; Linear Differential Operator; Unique Solu;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider elliptic boundary-value problems in which the elliptic operator is a polynomial function of a small parameter and the boundary conditions contain additional unknown functions. It is shown that the condition of ellipticity with small parameter is not only sufficient but also necessary for the a priori estimation of the solutions to this problem in the corresponding special functional spaces depending on the parameter.

引用

页码：1423 / 1430

页数：7

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