Microhyperbolic operators in Gevrey classes
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Publication:917825
DOI10.2977/prims/1195173608zbMath0705.35158OpenAlexW1979832720MaRDI QIDQ917825
Kunihiko Kajitani, Seiichiro Wakabayashi
Publication date: 1989
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1195173608
Gevrey classespropagation of singularitiesmicrohyperbolic operatorsHolmgren's uniqueness theoremmicrolocal Cauchy problemmicrolocal well-posedness
Pseudodifferential operators as generalizations of partial differential operators (35S05) Propagation of singularities; initial value problems on manifolds (58J47)
Related Items (14)
On the influence of the lower order terms on the Gevrey local solvability of a class of equations with multiple characteristics ⋮ Quantized contact transformations and pseudodifferential operators of infinite order ⋮ Propagation of Gevrey singularities for a class of operators with triple characteristics. I ⋮ Propagation of Gevrey singularities for a class of operators with triple characteristics. II ⋮ Propagation of analytic and Gevrey regularity for a class of semi-linear weakly hyperbolic equations ⋮ A class of Fourier integral operators with complex phase related to the Gevrey classes ⋮ On Gevrey singularities of microhyperbolic operators ⋮ KdV-type equations in projective Gevrey spaces ⋮ Hölder continuity in time for SG hyperbolic systems ⋮ Local solvability for partial differential equations with multiple characteristics in mixed Gevrey-\(C^\infty\) spaces ⋮ 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 ⋮ A characterization for the Gevrey-Sobolev wave front set. ⋮ Strictly hyperbolic equations with coefficients low-regular in time and smooth in space ⋮ 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
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