COMPLEX POWERS OF RESOLVENTS OF PSEUDODIFFERENTIAL OPERATORS

DOI10.1081/PDE-120016160zbMath1129.58304MaRDI QIDQ4796783

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Publication date: 2002

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Complex power, Resolvent, Parameter- dependent pseudodifferential operator, Anisotropic weakly polyhomogeneous symbol, Asymptotic trace expansion, Logarithmic term

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Perturbations of PDEs on manifolds; asymptotics (58J37) Pseudodifferential operators (47G30)

Related Items (7)

The local counting function of operators of Dirac and Laplace type ⋮ Complex Powers and Non-compact Manifolds ⋮ Exotic expansions and pathological properties of \(\zeta\)-functions on conic manifolds ⋮ Complex powers of classical SG-pseudodifferential operators ⋮ On the Logarithm Component in Trace Defect Formulas ⋮ Traces and quasi-traces on the Boutet de Monvel algebra. ⋮ Zeta forms and the local family index theorem

Cites Work

• Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems
• Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems
• On the asymptotic behavior of resolvent kernels for elliptic operators
• The Resolvent of an Elliptic Boundary Problem
• A weakly polyhomogeneous calculus for pseudodifferential boundary problems
• The structure of the resolvent of elliptic pseudodifferential operators

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