Results 151 to 160 of about 544 (183)

Strong hyperbolicity in Gevrey classes

Journal of Differential Equations, 2021
In this paper, the authors consider the Cauchy problem \[ \begin{cases} P(t,\partial_t,\partial_x)u(t,x)=0,\quad(t,x)\in[0,T]\times\mathbb R\\ \partial_t^ju(0,x)=u_j(x),\quad x\in\mathbb R,\quad j=0,...,m-1 \end{cases}\tag{CP} \] where \(P\) is a differential operator of order \(m\) with respect to \(t\) written in the form \[P(t,\partial_t,\partial_x)=
Ferruccio Colombini, Nicola Orrù, Giovanni Taglialatela   +2 more
openaire   +2 more sources

Hypoellipticity and Local Solvability in Gevrey Classes

Mathematische Nachrichten, 2002
As standard, let \(G^s ...
ALBANESE, Angela Anna, CORLI A., RODINO L.   +2 more
openaire   +4 more sources

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

NONLINEAR HYPERBOLIC CAUCHY PROBLEMS IN GEVREY CLASSES

Chinese Annals of Mathematics, 2001
The authors consider the quasilinear Cauchy problem \[ \sum_{ |\alpha|\leq m}a_\alpha (t,x,D^\beta_{t,x} u)D^\alpha_{t,x} u=f(t,x, D^\beta_{t,x}u), \] \[ D^j_t u|_{t=0}=0,\;0\leq ...
CICOGNANI M., ZANGHIRATI, Luisa
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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

Gevrey class regularity for the global attractor of a two-dimensional non-Newtonian fluid

Acta Mathematica Scientia, 2021
Caidi Zhao, T Tachim Medjo, Zhao Caidi
exaly  

Uniqueness sets for gevrey classes

Journal of Soviet Mathematics, 1980
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Gevrey Class Regularity of a Semigroup Associated with a Nonlinear Korteweg-de Vries Equation

Chinese Annals of Mathematics Series B, 2018
Jean-Michel Coron, Shu-Xia Tang, Coron Jean-Michel   +2 more
exaly