Pseudo differential operators with multiple characteristics and gevrey singularities

DOI10.1080/03605308608820441zbMath0597.58034OpenAlexW1975161808MaRDI QIDQ3730688

Luigi Rodino, Luisa Zanghirati

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/03605308608820441

zbMATH Keywords

pseudo-differential operatorpropagation of singularities in the Gevrey class

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items (9)

A fundamental solution for a degenerate hyperbolic operator of second order and fourier integral operators of complex phase ⋮ Analytic-gevrey hypollipticity for a class of pswudo-differential operators with multiple characteristics ⋮ Almost periodic pseudodifferential operators and Gevrey classes ⋮ A class of Fourier integral operators with complex phase related to the Gevrey classes ⋮ Microhyperbolic operators in Gevrey classes ⋮ Fourier integral operators of infinite order on \({\mathcal D}_{L^2}^{\{\sigma\}}({\mathcal D}_{L^2}^{\{\sigma\}'})\) with an application to a certain Cauchy problem ⋮ Unnamed Item ⋮ On Gevrey vectors of L. Hörmander’s operators ⋮ Pseudo-differential operators of infinite order on \({\mathcal D}_{L^2}^{\{\sigma\}}({\mathcal D}_{L^2}^{\{\sigma\}'})\) and applications to the Cauchy problem for some elementary operators

Cites Work

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• Singularities of solutions of the hyperbolic Cauchy problem in Gevrey classes
• Fourier integral operators in Gevrey class on \({\mathbb{R}}^ n\) and the fundamental solution for a hyperbolic operator
• Propagation des singularités analytiques pour les solutions des équations aux derivées partielles
• Propagation of singularities for operators with multiple involutive characteristics
• The exponential calculus of microdifferential operators of infinite order. I, II
• Pseudo-differential operators and Gevrey classes
• Fourier integral operators. II
• Opérateurs pseudo-différentiels analytiques et opérateurs d'ordre infini. (Analytic pseudo-differential operators and operators of infinite order.)
• Opérateurs pseudodif[facuteerentiels et classes de gevrey]
• Pseudodifferential operators of infinite order and Gevrey classes
• Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients

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