Mellin Operators with Asymptotics on Manifolds with Corners

DOI10.1007/978-3-0348-0049-5_4zbMath1247.35218OpenAlexW139114943MaRDI QIDQ2904922

Bert-Wolfgang Schulze, Man-Wah Wong

Publication date: 24 August 2012

Published in: Pseudo-Differential Operators: Analysis, Applications and Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0049-5_4

zbMATH Keywords

Fredholmnessdiscrete and continuous asymptoticsedge pseudo-differential operatorsMellin and Green operatorsellipticity and regularity with asymptoticsparameter-dependent meromorphic symbols

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Topological aspects for pseudodifferential operators in context of PDEs: intersection cohomology, stratified sets, etc. (35S35) Green's functions for elliptic equations (35J08)

Related Items (8)

Mellin Operators in Weighted Corner Spaces ⋮ Asymptotic parametrices of elliptic edge operators ⋮ Asymptotics in weighted corner spaces ⋮ A new approach to the second order edge calculus ⋮ Calculus on spaces with higher singularities ⋮ Noncommutative residues for pseudo-differential operators on the noncommutative two-torus ⋮ Mellin and Green operators of the corner calculus ⋮ Iterative properties of pseudo-differential operators on edge spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ellipticity, Fredholmness and spectral invariance of pseudo-differential operators on \({{\mathbb S}^1}\)
• The Zaremba problem with singular interfaces as a corner boundary value problem
• Regularity with continuous and branching asymptotics for elliptic operators on manifolds with edges
• Transformation de Mellin et développements asymptotiques
• The edge algebra structure of boundary value problems
• Operators with symbol hierarchies and iterated asymptotics.
• An algebra of meromorphic corner symbols
• Parameter-dependent edge operators
• Elliptic mixed, transmission and singular crack problems
• The relative index for corner singularities
• Boundary problems for pseudo-differential operators
• Spectral Theory of Pseudo-Differential Operators on $$\mathbb{S}^1$$
• The Iterative Structure of the Corner Calculus
• Parametrices and Boundary Symbolic Calculus for Elliptic Boundary Problems without the Transmission Property
• EDGE OPERATORS WITH CONDITIONS OF TOEPLITZ TYPE
• Spectral theory of SG pseudo-differential operators on L^p(Rⁿ)
• Asymptotic regularity of solutions to Hartree-Fock equations with Coulomb potential
• Ellipticity of Fredholm Pseudo-Differential Operators on L p (ℝ n )
• Pseudo-Differential Operators on $$ \mathbb{S}^1 $$
• Ellipticity and Continuous Conormal Asymptotics on Manifolds with Conical Singularities
• Boundary value problems in edge representation
• Meromorphic symbolic structures for boundary value problems on manifolds with edges
• EQUATIONS IN CONVOLUTIONS IN A BOUNDED REGION
• AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ
• The index of elliptic operators on compact manifolds

This page was built for publication: Mellin Operators with Asymptotics on Manifolds with Corners