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

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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Bibliographic Details
Published in:Differential equations 2012-03, Vol.48 (3), p.343-353
Main Author: Bondar’, L. N.
Format: Article
Language:English
Subjects:
Boundary value problems
Difference and Functional Equations
Differential equations
Half spaces
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Sobolev space
Studies
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Description
Summary: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.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266112030056