Truncation quantization in the edge calculus

DOI10.1007/s11868-023-00564-0zbMath1526.35348MaRDI QIDQ6063499

Bert-Wolfgang Schulze, Joerg Seiler

Publication date: 7 November 2023

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

zbMATH Keywords

PDOs on smooth manifolds with boundary

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Cites Work

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• Fractional Laplacians on domains, a development of Hörmander's theory of \(\mu\)-transmission pseudodifferential operators
• Edge quantisation of elliptic operators
• The edge algebra structure of boundary value problems
• Pseudodifferential calculi on the half-line respecting prescribed asymptotic types
• Boundary value problems with global projection conditions
• Corner operators with symbol hierarchies
• The principal transmission condition
• The edge algebra structure of the Zaremba problem
• Elliptic mixed, transmission and singular crack problems
• Local and nonlocal boundary conditions for \(\mu\)-transmission and fractional elliptic pseudodifferential operators
• Boundary problems for pseudo-differential operators
• Pseudodifferential operators of mellin type
• Parametrices and Boundary Symbolic Calculus for Elliptic Boundary Problems without the Transmission Property
• The transmission property.
• Continuity of Edge and Corner Pseudodifferential Operators
• Boundary value problems in edge representation

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