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Sets of uniqueness for the Gevrey classes

Arkiv för Matematik, 1977
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Fuchsian Hyperbolic Equations in Gevrey Classes

Fuchsian Hyperbolic Equations in Gevrey Classes
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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)=
Colombini, Ferruccio, Orrù, Nicola, Taglialatela, Giovanni   +2 more
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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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Hypoellipticity and Local Solvability in Gevrey Classes

Mathematische Nachrichten, 2002
As standard, let \(G^s ...
A. ALBANESE, A. CORLI, RODINO, Luigi Giacomo   +2 more
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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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Gevrey class for locally thermoelastic beam equations

Zeitschrift für angewandte Mathematik und Physik, 2022
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Bruna T. S. Sozzo, Jaime E. M. Rivera
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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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