Analysis on regular corner spaces

DOI10.1007/s12220-021-00614-3zbMath1478.35111OpenAlexW3130073814MaRDI QIDQ2050720

S. Khalil, Bert-Wolfgang Schulze, Der-Chen E. Chang

Publication date: 31 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-021-00614-3

zbMATH Keywords

pseudo-differential operatorsparametrices of elliptic operatorsBoutet de Monvel's calculusMellin symbols with values in the edge calculussingular cones

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Topological aspects for pseudodifferential operators in context of PDEs: intersection cohomology, stratified sets, etc. (35S35)

Related Items (1)

Corner operators with symbol hierarchies

Cites Work

• Pseudo-differential operators, singularities, applications
• Ellipticity on spaces with higher singularities
• Complete Mellin and Green symbolic calculus in spaces with conormal asymptotics
• Transformation of boundary problems
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• Boundary layer methods for Lipschitz domains in Riemannian manifolds
• Boundary value problems with global projection conditions.
• Cone pseudodifferential operators in the edge symbolic calculus
• Pseudodifferential operators on manifolds with fibred boundaries.
• The edge algebra structure of boundary value problems
• Functional calculus of pseudodifferential boundary problems.
• Boundary value problems with global projection conditions
• Calculus on a manifold with edge and boundary
• Ellipticity of quantum mechanical Hamiltonians in the edge algebra
• Elliptic mixed, transmission and singular crack problems
• Vektorraumbündel und der Raum der Fredholm-Operatoren
• Boundary problems for pseudo-differential operators
• Pseudodifferential operators on Hilbert bundles
• Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds
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• Continuity of Edge and Corner Pseudodifferential Operators
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
• A FACTORIZATION PROBLEM IN NORMED RINGS, FUNCTIONS OF ISOMETRIC AND SYMMETRIC OPERATORS AND SINGULAR INTEGRAL EQUATIONS
• An algebra of boundary value problems not requiring Shapiro-Lopatinskij conditions
• Ellipticity and invertibility in the cone algebra on \(L_p\)-Sobolev spaces
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