A class of Fourier integral operators with complex phase related to the Gevrey classes

DOI10.1007/s11868-010-0014-1zbMath1204.35183OpenAlexW2065828163MaRDI QIDQ611974

Tatsuo Nishitani, Mitsuji Tamura

Publication date: 15 December 2010

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-010-0014-1

zbMATH Keywords

quantizationGevrey classesFourier integral operatorshyperbolic operators

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear composition operators (47B33) Fourier integral operators applied to PDEs (35S30) Pseudodifferential operators (47G30)

Related Items (2)

ON THE CAUCHY PROBLEM FOR NON-EFFECTIVELY HYPERBOLIC OPERATORS: THE GEVREY 3 WELL-POSEDNESS ⋮ On the Cauchy problem for noneffectively hyperbolic operators: the Gevrey 4 well-posedness

Cites Work

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• On the Cauchy problem for noneffectively hyperbolic operators: the Gevrey 4 well-posedness
• Microhyperbolic operators in Gevrey classes
• The hyperbolic Cauchy problem
• The Cauchy problem for hyperbolic operators of strong type
• A new higher order chain rule and Gevrey class
• Pseudo differential operators with multiple characteristics and gevrey singularities
• Pseudodifferential operators of infinite order and Gevrey classes
• Non-linear leray-volevich systems and gevrey class
• Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem

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