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Sharp Finite Speed for Hyperbolic Problems Well Posed in Gevrey Classes [PDF]

Communications in Partial Differential Equations, 2011
For linear hyperbolic operators with coefficients $a_{j,\alpha}(t,x)$ Gevrey-$s$ in $x$ and $C^k$ in $t$ with ...
J Rauch
exaly   +2 more sources

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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-hypoellipticity and pseudo-differential operators on Gevrey class

1987
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On the global solvability in Gevrey classes on the n-dimensional torus

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

Iterates of a class of hypoelliptic operators and generalized Gevrey classes

1980
Functions of a generalized Gevrey class are characterized by means of $L^2$-estimates of the iterates of a hypoelliptic operator with variable coefficients. The result contains previous ones obtained by T. Kotake and M. S. Narasimhan [Bull. Soc. France 90 (1962), 449--471], E. Newberger and Z. Zielezny [Proc. Amer. Math. Soc.
openaire   +1 more source

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

Mathematische Nachrichten, 1998
Michael Langenbruch
exaly  

Fourier integral operators and inhomogeneous Gevrey classes

Annali Di Matematica Pura Ed Applicata, 1988
Otto Liess, Luigi Rodiño, Liess Otto
exaly  

Local solutions in gevrey classes to the nonlinear Boltzmann equation without cutoff

Japan Journal of Industrial and Applied Mathematics, 1984
Seiji Ukai, Ukai Seiji
exaly  

Well-posedness of the cauchy problem in gevrey classes for some weakly hyperbolic equations of higher order

Journal D'Analyse Mathematique, 2003
Ferruccio Colombini, Colombini Ferruccio   +1 more
exaly