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Cauchy Problem in the Gevrey Classes
2017In Chap. 6 we showed that there exists a second order differential operator of spectral type 2 on Σ with bicharacteristics tangent to the double characteristic manifold for which the Cauchy problem is ill-posed in the Gevrey class of order s for any s > 5 even though the Levi condition is satisfied.
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1988
Non isotropic Gevrey classes were introduced for studying the regularity of differential operators. The authors had earlier studied the (boundary) interpolation problem for the class \(A^{\infty}(D)\), where D is a bounded strictly pseudoconvex domain in \({\mathbb{C}}^ n\).
Chaumat, Jacques, Chollet, Anne-Marie
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Non isotropic Gevrey classes were introduced for studying the regularity of differential operators. The authors had earlier studied the (boundary) interpolation problem for the class \(A^{\infty}(D)\), where D is a bounded strictly pseudoconvex domain in \({\mathbb{C}}^ n\).
Chaumat, Jacques, Chollet, Anne-Marie
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Well‐Posedness in Gevrey Function Space for 3D Prandtl Equations without Structural Assumption
Communications on Pure and Applied Mathematics, 2022Wei-Xi Li, Nader Masmoudi, Tong Yang
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Multi-anisotropic Gevrey classes and ultradistributions
2008We consider a relevant generalization of the standard Gevrey classes, the so-called multi-anisotropic spaces, defined in terms of a given complete polyhedron. With respect to the previous literature on the subject, we concentrate here in the study of the topology. It is defined as inductive and projective limit of Banach spaces, in two equivalent ways,
Calvo, Daniela, MORANDO, Alessandro
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Long‐Time Instability of the Couette Flow in Low Gevrey Spaces
Communications on Pure and Applied Mathematics, 2023exaly
Landau Damping: Paraproducts and Gevrey Regularity
Annals of PDE, 2016Nader Masmoudi, Clément Mouhot
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Linear Inviscid Damping in Gevrey Spaces
Archive for Rational Mechanics and Analysis, 2019Hao Jia
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