Analytic-gevrey hypollipticity for a class of pswudo-differential operators with multiple characteristics

DOI10.1080/03605309908820678zbMath0704.35035OpenAlexW1489771503MaRDI QIDQ3483666

Lamberto Cattabriga, Luigi Rodino, Luisa Zanghirati

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/03605309908820678

zbMATH Keywords

Gevrey classeshypoellipticitypseudo-differential operatorslower order termsanalytic class

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Hypoelliptic equations (35H10)

Related Items (4)

\(\omega\)-hypoelliptic differential operators of constant strength ⋮ On the representation and the uniform polynomial approximation of polyanalytic functions of Gevrey type on the unit disk ⋮ Unnamed Item ⋮ Semilinear perturbation of powers of the mizohata operators

Cites Work

• Fourier integral operators in Gevrey class on \({\mathbb{R}}^ n\) and the fundamental solution for a hyperbolic operator
• Fourier integral operators and inhomogeneous Gevrey classes
• A property of the functions and distributions annihilated by a locally integrable system of complex vector fields
• Fourier integral operators of infinite order on Gevrey spaces. Applications to the Cauchy problem for certain hyperbolic operators
• Sur l'hypoellipticite analytique microlocale des operateurs de type principal
• Pseudo differential operators with multiple characteristics and gevrey singularities
• Pseudodifferential operators of infinite order and Gevrey classes

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