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

被引：0

作者：

Zavorotinskii, A. V. ^{[1
,2
]}

机构：

[1] Ukrainian Natl Acad Sci, Inst Math, Kiev, Ukraine

[2] Chernihiv Natl Pedag Univ, Chernihiv, Ukraine

来源：

Ukrainian Mathematical Journal | 2015年 / 66卷 / 09期

关键词：

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

D O I：

10.1007/s11253-015-1021-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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：8

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