Differential equations with conical degeneration in spaces with asymptotics

We define a space with asymptotics isomorphic to the direct sum of the corresponding Sobolev spaces for any values of their indices. In spaces with asymptotics, we consider problems for differential operators with conical degeneration and state conditions providing their Fredholm property.

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Bibliographic Details
Published in:Differential equations 2009-09, Vol.45 (9), p.1275-1284
Main Author: Korovina, M. V.
Format: Article
Language:English
Subjects:
Asymptotic methods
Calculus of variations
Difference and Functional Equations
Differential equations
Fourier transforms
Mathematics
Mathematics and Statistics
Neighborhoods
Ordinary Differential Equations
Partial Differential Equations
Studies
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Description
Summary:We define a space with asymptotics isomorphic to the direct sum of the corresponding Sobolev spaces for any values of their indices. In spaces with asymptotics, we consider problems for differential operators with conical degeneration and state conditions providing their Fredholm property.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266109090043