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Частичная регулярность следов решений нелинейных эллиптических систем высокого порядка

For traces of generalized solutions of elliptic systems on smooth manifolds, we study the dependence of the Hausdorff dimension of the set of points at which a solution is not smooth on the modulus of ellipticity of a system.

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Bibliographic Details
Main Author: Калита, Е.А.
Format: Article
Language:Russian
Published: Інститут математики НАН України 1993
Series:Український математичний журнал
Subjects:
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/156754
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Description
Summary:For traces of generalized solutions of elliptic systems on smooth manifolds, we study the dependence of the Hausdorff dimension of the set of points at which a solution is not smooth on the modulus of ellipticity of a system.