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On the Cauchy problem in Gevrey classes for dispersive equations

Differential and Integral Equations, 2001
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Gevrey hypoellipticity of a class of pseudodifferential operators

Gevrey hypoellipticity of a class of pseudodifferential operators
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Fuchsian Hyperbolic Equations in Gevrey Classes

Fuchsian Hyperbolic Equations in Gevrey Classes
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Hypoellipticity and Local Solvability in Gevrey Classes

Mathematische Nachrichten, 2002
As standard, let \(G^s ...
Angela A Albanese, Luigi Rodiño
exaly   +6 more sources

NONLINEAR HYPERBOLIC CAUCHY PROBLEMS IN GEVREY CLASSES

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   +3 more sources

Uniqueness sets for gevrey classes

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

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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