Results 21 to 30 of about 3,445 (164)
Propagation of Gevrey regularity for solutions of Landau equations [PDF]
, 2008 By using the energy-type inequality, we obtain, in this paper, the result on propagation of Gevrey regularity for the solution of the spatially homogeneous Landau equation in the cases of Maxwellian molecules and hard ...
Chen, Hua, Li, Weixi, Xu, Chao-Jiang
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Paradifferential calculus in Gevrey classes
Kyoto Journal of Mathematics, 2001 The paper presents a paradifferential calculus adapted to the study of nonlinear partial differential equations in Gevrey classes. Namely, in the second section of the paper the authors consider Gevrey-Sobolev spaces \(H^s_{\lambda,\sigma}\) defined by the norms \[ \biggl \|\exp \bigl(\lambda |D|^{1/ \sigma}\bigr)u \biggr\|_{H^s(\mathbb{R}^n)}.
CHEN H., RODINO, Luigi Giacomo
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Symbols of Pseudodifferential Operators Associated to Gevrey Kernel's Type [PDF]
, 2003 In this article, we aim at proving the truthfulness of the inverse Theorem (1) of [5]. More precisely, we associated symbols of Gevrey type to pseudodifferential operators when the latter are given by their kernels.
Hazi, Mohammed
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Inhomogeneous Gevrey classes and ultradistributions
Journal of Mathematical Analysis and Applications, 2004 Starting from the definition of inhomogeneous Gevrey classes given by \textit{O. Liess} and \textit{L. Rodino} [Boll. Unione Mat. Ital., VI. Ser., C, Anal. Funz. Appl. 3, 233--323 (1984; Zbl 0557.35131)], the authors introduce the non-quasi-analytic inhomogeneous Gevrey classes of Roumieu type, denoted by \(G^{s, \lambda}.\) Such a class of ...
D. Calvo +2 more
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The Growth of Hypoelliptic Polynomials and Gevrey Classes [PDF]
Proceedings of the American Mathematical Society, 1973 For given hypoelliptic polynomials P P and Q Q , classes Γ P ρ ( Ω ) \Gamma _P^\rho (\Omega ) and Γ Q ρ ( Ω ) \Gamma _Q^\rho (\Omega ) involving Gevrey type ...
Newberger, E., Zielezny, Z.
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Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules [PDF]
, 2015 It has long been suspected that the non-cutoff Boltzmann operator has similar coercivity properties as a fractional Laplacian. This has led to the hope that the homogenous Boltzmann equation enjoys similar regularity properties as the heat equation with ...
Barbaroux, Jean-Marie +3 more
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Vanishing viscosity limit of navier-stokes equations in gevrey class
, 2017 In this paper we consider the inviscid limit for the periodic solutions to Navier-Stokes equation in the framework of Gevrey class. It is shown that the lifespan for the solutions to Navier-Stokes equation is independent of viscosity, and that the ...
Alexandre +30 more
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Gevrey class regularity of the magnetohydrodynamics equations [PDF]
The ANZIAM Journal, 2002 AbstractIn this article, we use the method of Foias and Temam to show that the strong solutions of the time-dependent magnetohydrodynamics equations in a periodic domain are analytic in time with values in a Gevrey class of functions. As immediate corollaries we find that the solutions are analytic in Hr-norms and that the solutions become smooth ...
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On the integrability of the n-centre problem
, 2004 It is known that for $n \geq 3$ centres and positive energies the $n$-centre problem of celestial mechanics leads to a flow with a strange repellor and positive topological entropy.
Knauf, Andreas, Taimanov, Iskander A.
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Lifespan of solutions to second order Cauchy problems with small Gevrey data
AIMS MathematicsConsider the second order nonlinear partial differential equation: $ \partial_t^2 u = F(u, \partial_x u), \quad (t, x) \in \mathbb{C}\times \mathbb{R}.
John Paolo O. Soto +2 more
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