Results 121 to 130 of about 2,630 (152)

FBI transforms in Gevrey classes

Journal d'Analyse Mathématique, 1997
The following theorem is proved: Let \({\mathcal O}\) be a Gevrey \(s\) strictly convex obstacle, \(1 \leq s < 3\). Then for every positive \(\varepsilon\) there are only finitely many resonances in the region \(\{ k \in {\mathbb C} \mid\text{Re }k \geq 1, \text{ Im } k \geq -(C_{0, a} - \varepsilon) (\text{Re } k)^{1/3} \}\).
Lascar, Bernard, Lascar, Richard
openaire   +2 more sources

On the L∞ stability of Prandtl expansions in the Gevrey class

Science China Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Qi, Wu, Di, Zhang, Zhifei
openaire   +1 more source

GEVREY-HYPOELLIPTICITY FOR A CLASS OF TOTALLY CHARACTERISTIC OPERATORS

Acta Mathematica Scientia, 2000
The paper presents several new results concerning the Gevrey hypoellipticity of the totally characteristic operators of the form \[ P=t^m D^m_t+ \sum^m_{j=1} P_j(t,x, D_x)t^{m-j} D_t^{m-j}, \] where \(x\in \mathbb{R}^n\) denotes the tangential variable, and \(t\geq 0\) is the normal variable (with the boundary at \(t=0)\).
Tian, Yan, Zhou, Di, Chen, Hua
openaire   +2 more sources

Smoothing effect in Gevrey classes for Schrodinger equations

ANNALI DELL UNIVERSITA DI FERRARA, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

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.
openaire   +1 more source

On the global solvability in Gevrey classes on the n-dimensional torus

Journal of Mathematical Analysis and Applications, 2004
Angela A Albanese
exaly  

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
openaire   +1 more source

Global hypoellipticity and global solvability in Gevrey classes on the n-dimensional torus

Journal of Differential Equations, 2004
Angela A Albanese
exaly  

Gevrey-hypoellipticity and pseudo-differential operators on Gevrey class

1987
openaire   +1 more source

Surjectivity of Partial Differential Operators on Gevrey Classes and Extension of Regularity

Mathematische Nachrichten, 1998
Michael langenbruch
exaly