Edge quantisation of elliptic operators

DOI10.1007/s00605-008-0058-yzbMath1171.35130OpenAlexW1966827809MaRDI QIDQ1017937

Xiaochun Liu, Nicoleta Dines, Bert-Wolfgang Schulze

Publication date: 13 May 2009

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://publishup.uni-potsdam.de/files/2482/2004_24.pdf

zbMATH Keywords

Dirichlet-Neumann operatorspseudo-differential operatorsquantisationAgranovich-Dynin formulamanifolds with edges

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Degenerate elliptic equations (35J70) Pseudodifferential and Fourier integral operators on manifolds (58J40) Higher-order elliptic equations (35J30)

Related Items (7)

Mellin Operators in Weighted Corner Spaces ⋮ Mellin operators in the edge calculus ⋮ The Iterative Structure of the Corner Calculus ⋮ Truncation quantization in the edge calculus ⋮ Parameter-dependent edge operators ⋮ Dirichlet-to-Neumann Operator and Zaremba Problem ⋮ The edge algebra structure of the Zaremba problem

Cites Work

• Pseudo-differential operators, singularities, applications
• Resolvents of elliptic cone operators
• Higher index theorems and the boundary map in cyclic cohomology
• Operators with symbol hierarchies and iterated asymptotics.
• Functional calculus of pseudodifferential boundary problems.
• Mixed boundary value problems and parametrices in the edge calculus
• Boundary problems for pseudo-differential operators
• Mellin-edge representations of elliptic operators
• Geometry and Spectra of Closed Extensions of Elliptic Cone Operators
• Elliptic overdetermined system of two equations in a smooth three-dimensional domain
• Boundary value problems in edge representation
• EQUATIONS IN CONVOLUTIONS IN A BOUNDED REGION
• AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ
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