Results 111 to 120 of about 157 (145)

Smoothing effect in Gevrey classes for Schrodinger equations

ANNALI DELL UNIVERSITA DI FERRARA, 1999
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Regularly hyperbolic systems and Gevrey classes

Annali di Matematica Pura ed Applicata, 1985
This paper deals with the first order Cauchy problem \[ (1)\quad \partial U/\partial t=\sum A_ h(t,x) \partial U/\partial x_ h+B(t,x),\quad U(0,x)=g(x), \] \(0\leq t\leq T\), \(x\in {\mathbb{R}}^ n\), where \(A_ h\) (1\(\leq h\leq n)\) and \(B\) are \(N\times N\) real matrices, while U and g are real \(N\)-vectors. System (1) is assumed to be regularly
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Cauchy Problem in the Gevrey Classes

2017
In 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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Classes de Gevrey non isotropes et application à l'interpolation. (On non isotropic Gevrey classes and application to interpolation)

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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Well-posedness of the MHD Boundary Layer System in Gevrey Function Space without Structural Assumption

SIAM Journal on Mathematical Analysis, 2021
Wei-Xi Li, Tong Yang
exaly  

Uniqueness sets for gevrey classes

Journal of Soviet Mathematics, 1980
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Multi-anisotropic Gevrey classes and ultradistributions

2008
We 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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The Gevrey smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off

Science China Mathematics, 2021
Wei-Xi Li
exaly  

Gevrey hypoellipticity for linear and non-linear Fokker–Planck equations

Journal of Differential Equations, 2009
Wei-Xi Li
exaly  

Propagation of Gevrey regularity for solutions of Landau equations

Kinetic and Related Models, 2008
Wei-Xi Li
exaly