A priori estimates for solutions of boundary-value problems in a band for a class of higher-order degenerate elliptic equations

被引：0
|
作者：
A. D. Baev
S. S. Buneev
机构：
[1] Voronezh State University,
[2] Elets State University,undefined
来源：
Russian Mathematics | 2012年 / 56卷 / 7期
关键词：
a priori estimate; degenerate elliptic equation; Sobolev weight spaces;
D O I：
10.3103/S1066369X12070067
中图分类号：
学科分类号：
摘要：
In this paper we consider two boundary-value problems in a band for higher-order degenerate elliptic equations. These equations degenerate on one boundary of the band to a third-order equation with respect to one variable. We study problems in weight spaces similar to Sobolev ones whose norms are constructed with the help of a certain integral transform. We obtain a priori estimates in these weight spaces for solutions to boundary-value problems in the band for higher-order elliptic equations that degenerate on one boundary of the band to a third-order equation with respect to one variable.
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页码：44 / 46
页数：2
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