Results 131 to 140 of about 429 (166)

NONLINEAR HYPERBOLIC CAUCHY PROBLEMS IN GEVREY CLASSES [PDF]

Chinese Annals of Mathematics Series B, 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
exaly   +4 more sources

Strong hyperbolicity in Gevrey classes [PDF]

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
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Hypoellipticity and Local Solvability in Gevrey Classes

Mathematische Nachrichten, 2002
As standard, let \(G^s ...
Angela A Albanese, Andrea Corli, Luigi Rodiño   +2 more
exaly   +5 more sources

Uniqueness sets for gevrey classes

Journal of Soviet Mathematics, 1980
S V Khrushchev, Khrushchev S V
exaly   +3 more sources

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

Journal of Differential Equations, 2004
Let P be a linear partial differential operator with coefficients in the Gevrey class Gs(Tn) where Tn is the n-dimensional torus and s⩾1. We prove that if P is s-globally hypoelliptic in Tn then its transposed operator tP is s-globally solvable in Tn ...
Angela A Albanese
exaly   +2 more sources

Multi-anisotropic Gevrey classes and ultradistributions [PDF]

, 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   +2 more sources

Gevrey hypoellipticity and solvability on the multidimensional torus of some classes of linear partial differential operators [PDF]

Annali Dell'Universita Di Ferrara, 2006
In this paper we consider the problem of global analytic and Gevrey hypoellipticity and solvability for a class of partial differential operators on a torus.
Angela A Albanese, Albanese Angela A, Popivanov Petar   +2 more
exaly   +2 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
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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
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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
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