Calculus on a manifold with edge and boundary

DOI10.1007/s11785-018-0800-yzbMath1436.58022OpenAlexW2803310815MaRDI QIDQ2007933

S. Khalil, Bert-Wolfgang Schulze

Publication date: 22 November 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-018-0800-y

zbMATH Keywords

pseudo-differential operatorsBoutet de Monvel's algebramanifold with edgeMellin quantization

Mathematics Subject Classification ID

Boundary value problems for PDEs with pseudodifferential operators (35S15) Pseudodifferential and Fourier integral operators on manifolds (58J40) Operator algebras with symbol structure (47L15)

Related Items (3)

Dirichlet-to-Neumann Operator and Zaremba Problem ⋮ Corner operators with symbol hierarchies ⋮ Analysis on regular corner spaces

Cites Work

• Pseudo-differential operators, singularities, applications
• Cone pseudodifferential operators in the edge symbolic calculus
• Functional calculus of pseudodifferential boundary problems.
• A new approach to the second order edge calculus
• The edge algebra structure of the Zaremba problem
• Continuous and variable branching asymptotics
• Elliptic mixed, transmission and singular crack problems
• Boundary problems for pseudo-differential operators
• Boundary problems on a manifold with edge
• Corner boundary value problems
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