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

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

2009-01-14

arxiv.org/abs/0901.1967v2

Mathematics

Analysis of PDEs

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

Scientific paper

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.

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