Fourier integral operators and inhomogeneous Gevrey classes

DOI10.1007/BF01761469zbMath0675.35090MaRDI QIDQ1122066

Otto Liess, Luigi Rodino

Publication date: 1988

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

zbMATH Keywords

phasewave frontsymbolic calculussymbolsFourier integral operatorsamplitudemicrolocal analysismicrolocalizationHamiltonian flowoscillatory integralspropagation of singularitiesGevrey singularitiesparametricesFourier distributionmicrolocal singularitiespartial integrationuniformly Lipschitzianweight- function

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Analyticity in context of PDEs (35A20) Pseudodifferential and Fourier integral operators on manifolds (58J40) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

Related Items

Analytic-gevrey hypollipticity for a class of pswudo-differential operators with multiple characteristics ⋮ Sobolev spaces associated to a polyhedron and Fourier integral operators in \(\mathbb{R}^ n\) ⋮ Ultra‐differentiable classes and intersection theorems ⋮ Wave-front sets related to quasi-analytic Gevrey sequences

Cites Work

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• Intersection properties of weak analytically uniform classes of functions
• A general calculus of pseudodifferential operators
• Propagation des singularités des solutions d'équations pseudo-différentielles quasi homogènes
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• Fourier integral operators. I
• Fourier integral operators. II
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• Propagation of analytic singularities for second order dirichlet problems
• Propagation and reflection of singularities for a class of evolution equations
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• Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients
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