Continuity of Edge and Corner Pseudodifferential Operators

DOI10.1002/mana.3212050109zbMath0935.35188OpenAlexW2000794689MaRDI QIDQ4700416

Joerg Seiler

Publication date: 1 November 1999

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.3212050109

zbMATH Keywords

pseudodifferential operators with operator-valued symbolstheorem of Calderón-Vaillancourt type

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Pseudodifferential and Fourier integral operators on manifolds (58J40) Pseudodifferential operators (47G30)

Related Items (27)

A Calculus of Abstract Edge Pseudodifferential Operators of Type $\rho,\delta$ ⋮ Compositions in the Edge Calculus ⋮ Mellin Operators in Weighted Corner Spaces ⋮ Mellin operators in the edge calculus ⋮ Boundary value problems in edge representation ⋮ The Iterative Structure of the Corner Calculus ⋮ Weighted spaces on corner manifolds ⋮ Realizations of differential operators on conic manifolds with boundary ⋮ Singular Green operators in the edge algebra formalism ⋮ Calculus on spaces with higher singularities ⋮ Truncation quantization in the edge calculus ⋮ Calculus on straight singular cones ⋮ Dirichlet-to-Neumann Operator and Zaremba Problem ⋮ Order filtrations of the edge algebra ⋮ The Singular Functions of Branching Edge Asymptotics ⋮ The edge algebra structure of the Zaremba problem ⋮ Pseudodifferential operators with C*-algebra-valued symbols: Abstract characterizations ⋮ Corner boundary value problems ⋮ Ellipticity on spaces with higher singularities ⋮ Operators with Corner-Degenerate Symbols ⋮ Corner operators with symbol hierarchies ⋮ Analysis on regular corner spaces ⋮ Fourier integral operators and the index of symplectomorphisms on manifolds with boundary ⋮ Corner boundary value problems ⋮ Iterative properties of pseudo-differential operators on edge spaces ⋮ Continuous and variable branching asymptotics ⋮ Symbolic calculus for boundary value problems on manifolds with edges

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Mellin and Green pseudodifferential operators associated with non-compact edges
• Functional analysis in cone and edge Sobolev spaces
• Pseudo-differential operators with operator-valued symbols in the Mellin- edge- approach
• Pseudodifferential operators on manifolds with edges
• Pseudodifferential operators of mellin type
• Elliptic theory of differential edge operators I

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