arXiv:0901.1967 Abstract | arXiv Analytics

arXiv:0901.1967 [math.AP]Abstract References Reviews Resources

Edge-degenerate families of $Ψ$Do's on an infinite cylinder

Published 2009-01-14, updated 2009-01-28Version 2

We establish a parameter-dependent pseudo-differential calculus on an infinite cylinder, regarded as a manifold with conical exits to infinity. The parameters are involved in edge-degenerate form, and we formulate the operators in terms of operator-valued amplitude functions.

Comments: Keywords. Edge-degenerate operators, parameter-dependent pseudo-differential operators, norm estimates with respect to a parameter

Categories: math.AP

Subjects: 35S35, 35J70

Keywords: infinite cylinder, edge-degenerate families, parameter-dependent pseudo-differential calculus, edge-degenerate form, operator-valued amplitude functions

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