Parameter-dependent edge operators

We study parameter-dependent operators on a manifold with edge and construct new classes of elliptic elements in the corner calculus on an infinite cone with a singular base.

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Bibliographic Details
Published inAnnals of global analysis and geometry Vol. 38; no. 2; pp. 171 - 190
Main Authors Martin, C.-I., Schulze, B.-W.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.08.2010
Springer Nature B.V
Subjects
Analysis
Calculus
Construction
Corners
Differential equations
Differential Geometry
Fourier transforms
Geometry
Global Analysis and Analysis on Manifolds
Manifolds
Mathematical analysis
Mathematical Physics
Mathematics
Mathematics and Statistics
Operators
Original Paper
Studies
Topological manifolds
Edge pseudo-differential operators
Spaces on singular manifolds with double weights
Singular exits to infinity
Ellipticity of conormal symbols
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Summary:We study parameter-dependent operators on a manifold with edge and construct new classes of elliptic elements in the corner calculus on an infinite cone with a singular base.
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ISSN:0232-704X
1572-9060
DOI:10.1007/s10455-010-9207-3