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

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作者
A. V. Zavorotinskii
机构
[1] Ukrainian National Academy of Sciences,Institute of Mathematics
[2] Chernihiv National Pedagogic University,undefined
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Small Parameter; Elliptic Operator; Ukrainian National Academy; Linear Differential Operator; Unique Solu;
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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.
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页码:1423 / 1430
页数:7
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