Mellin Quantisation in Corner Operators

DOI10.1007/978-3-0348-0537-7_8zbMath1302.35495OpenAlexW20858467MaRDI QIDQ4915840

N. Habal, Bert-Wolfgang Schulze

Publication date: 12 April 2013

Published in: Operator Theory, Pseudo-Differential Equations, and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0537-7_8

zbMATH Keywords

kernel cut-offMellin quantisationscorner-degenerate symbolsholomorphic Mellin symbolsoperators on corner singularities

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Pseudodifferential and Fourier integral operators on manifolds (58J40) Pseudodifferential operators (47G30) Topological aspects for pseudodifferential operators in context of PDEs: intersection cohomology, stratified sets, etc. (35S35)

Related Items

Asymptotic parametrices of elliptic edge operators ⋮ Asymptotics in weighted corner spaces ⋮ Weighted spaces on corner manifolds ⋮ A new approach to the second order edge calculus ⋮ Calculus on spaces with higher singularities ⋮ Quantisation on a manifold with singular edge ⋮ The edge algebra structure of the Zaremba problem ⋮ Ellipticity on spaces with higher singularities ⋮ Corner boundary value problems ⋮ Iterative properties of pseudo-differential operators on edge spaces

Cites Work

• Complete Mellin and Green symbolic calculus in spaces with conormal asymptotics
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• Holomorphic corner symbols
• Mellin and Green operators of the corner calculus
• The edge algebra structure of boundary value problems
• Operators with symbol hierarchies and iterated asymptotics.
• An algebra of meromorphic corner symbols
• Elliptic mixed, transmission and singular crack problems
• The relative index for corner singularities
• The Iterative Structure of the Corner Calculus
• Parametrices and Boundary Symbolic Calculus for Elliptic Boundary Problems without the Transmission Property
• Explicit algebras with the Leibniz–Mellin translation product
• Edge symbolic structures of second generation
• Probleme de dirichelt dans un cône avec parametre spectral pour une classe d'espaces de sobolev a poids
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