Sobolev spaces associated to a polyhedron and Fourier integral operators in \(\mathbb{R}^ n\)

DOI10.1007/BF01759380zbMath0881.35134MaRDI QIDQ678126

Paolo Boggiatto

Publication date: 1 June 1997

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

Fourier integral operatorshypoelliptic pseudodifferential operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Fourier integral operators applied to PDEs (35S30) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

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Cites Work

• Fourier integral operators and inhomogeneous Gevrey classes
• A general calculus of pseudodifferential operators
• Propagation and reflection of singularities for a class of evolution equations
• Elliptic pseudo differential operators degenerate on a symplectic submanifold
• Espaces fonctionnels associés au calcul de Weyl-Hörmander
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