Conditions for the solvability of boundary value problems for quasi-elliptic systems in a half-space

被引：0
作者：
L. N. Bondar’
机构：
[1] Russian Academy of Sciences,Sobolev Institute of Mathematics, Siberian Branch
来源：
Differential Equations | 2012年 / 48卷
关键词：
Sobolev Space; Vector Function; Constant Independent; Canonical Basis; Solvability Condition;
D O I：
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学科分类号：
摘要：
We consider boundary value problems in a half-space for a class of quasi-elliptic systems with constant coefficients. We assume that the boundary value problems satisfy the Lopatinskii condition. We obtain necessary and sufficient conditions for their unique solvability in Sobolev spaces.
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页码：343 / 353
页数：10
相关论文
共 8 条
[1]  
Volevich L.R.(1962)Local Properties of Solutions of Quasi-Elliptic Systems Mat. Sb. 59 3-52
[2]  
Demidenko G.V.(2006)On Solvability of Boundary Value Problems for Quasi-Elliptic Systems in J. Anal. Appl. 4 1-11
[3]  
Demidenko G.V.(1994)Integral Operators Defined by Quasi-Elliptic Equations. II Sibirsk. Mat. Zh. 35 41-65
[4]  
Demidenko G.V.(1988)Well-Posed Solvability of Boundary Value Problems in a Half-Space for Quasi-Elliptic Equations Sibirsk. Mat. Zh. 29 54-67
[5]  
Bondar’ L.N.(2007)Solvability Conditions for Boundary Value Problems for Quasi-Elliptic Systems Vestn. Novosib. Gos. Univ. Ser. Mat. Mekh. Inform. 7 9-26
[6]  
Bondar’ L.N.(2008)Boundary Value Problems for Quasi-Elliptic Systems Sibirsk. Mat. Zh. 49 256-273
[7]  
Demidenko G.V.(1972)On the Representation of Functions Defined by a Class of Hypoelliptic Operators Tr. Mat. Inst. Steklova 117 292-299
[8]  
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