Ellipticity with Global Projection Conditions

DOI10.1007/978-3-319-47512-7_4zbMath1442.35577OpenAlexW2585708228MaRDI QIDQ5268876

Bert-Wolfgang Schulze

Publication date: 21 June 2017

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-47512-7_4

zbMATH Keywords

Fredholm operatorsToeplitz operatorsellipticitypseudo-differential operatorsmanifolds with boundary or edge

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential operators (47G30) Topological aspects for pseudodifferential operators in context of PDEs: intersection cohomology, stratified sets, etc. (35S35) PDEs on manifolds (35R01)

Cites Work

• Ellipticity in pseudodifferential algebras of Toeplitz type
• Boundary value problems with global projection conditions.
• The edge algebra structure of boundary value problems
• Elliptic operators in subspaces and the eta invariant
• Functional calculus of pseudodifferential boundary problems.
• Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems
• Parameter-dependent pseudodifferential operators of Toeplitz type
• Boundary problems for pseudo-differential operators
• Elliptic boundary-value problems for pseudodifferential complexes
• Parametrices of mixed elliptic problems
• EDGE OPERATORS WITH CONDITIONS OF TOEPLITZ TYPE
• Spectral asymmetry and Riemannian geometry. II
• An algebra of boundary value problems not requiring Shapiro-Lopatinskij conditions
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