Edge-degenerate families of ΨDo's on an infinite cylinder

2009/01/14 by Jamil Abed, Abed, Jamil, B.-W. Schulze +2
Mathematics · #35J70 #35S35 #Advanced Differential Equations and Dynamical Systems #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory in Mathematical Physics #advanced mathematical theories #math.AP #msc:35J70 #msc:35S35

paper · pdf · doi:10.48550/arxiv.0901.1967

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

openalex publication_date 2009/01/14 · arxiv created 2009/01/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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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