Complex powers of differential operators on manifolds with conical singularities

DOI10.1007/BF02893076zbMath1046.58009MaRDI QIDQ1411292

Paul Loya

Publication date: 27 October 2003

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

Schwartz kernelcomplex power\(b\)-pseudodifferential operatorcone differential operator

Mathematics Subject Classification ID

Boundary value problems for PDEs with pseudodifferential operators (35S15) Pseudodifferential and Fourier integral operators on manifolds (58J40) Boundary value problems on manifolds (58J32)

Related Items (10)

Smoothness and long time existence for solutions of the Cahn-Hilliard equation on manifolds with conical singularities ⋮ The diffractive wave trace on manifolds with conic singularities ⋮ Complex powers for a class of infinite order hypoelliptic operators ⋮ Complex powers of hypoelliptic pseudodifferential operators ⋮ Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary ⋮ Resolvents and complex powers of semiclassical cone operators ⋮ Asymptotic properties of the heat kernel on conic manifolds ⋮ Complex powers of classical SG-pseudodifferential operators ⋮ Global functional calculus for operators on compact Lie groups ⋮ Unbounded pseudodifferential calculus on Lie groupoids

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