Results 1 to 10 of about 2,438 (123)
Beyond Gevrey regularity [PDF]
Journal of Pseudo-Differential Operators and Applications, 2016 We define and study classes of smooth functions which are less regular than Gevrey functions. To that end we introduce two-parameter dependent sequences which do not satisfy Komatsu's condition (M.2)', which implies stability under differential operators
Pilipović, Stevan +2 more
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Landau Damping: Paraproducts and Gevrey Regularity [PDF]
Annals of PDE, 2016 We give a new, simpler, proof of nonlinear Landau damping on T^d in Gevrey-1/s regularity (s > 1/3) which matches the regularity requirement predicted by the formal analysis of Mouhot and Villani in the original proof of Landau damping [Acta Mathematica 2011].
Nader Masmoudi, Clément Mouhot
exaly +3 more sources
Propagation of Gevrey regularity for solutions of Landau equations [PDF]
Kinetic & Related Models, 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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Gevrey Regularity for Solution of the Spatially Homogeneous Landau Equation [PDF]
Acta Mathematica Scientia, 2009 In this paper, we study the Gevrey class regularity for solutions of the spatially homogeneous Landau equations in the hard potential case and the Maxwellian molecules ...
Chen, Hua, Li, Weixi, Xu, Chao-Jiang
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Gevrey regularity of the periodic gKdV equation
Journal of Differential Equations, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A Alexandrou Himonas
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Minimal Gevrey Regularity for Hörmander Operators
International Mathematics Research Notices, 2023 Abstract We prove a minimal Gevrey regularity theorem for Hörmander’s sum of squares type operators ( 1.1), improving the result of Derridj and Zuily [ 10]. The Gevrey index given here is optimal, in the sense that there are operators of this type that just attain that regularity and not any better.
Bove, Antonio, Mughetti, Marco
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Extended Gevrey Regularity via Weight Matrices
Axioms, 2022 The main aim of this paper is to compare two recent approaches for investigating the interspace between the union of Gevrey spaces Gt(U) and the space of smooth functions C∞(U). The first approach in the style of Komatsu is based on the properties of two parameter sequences Mp=pτpσ, τ>0, σ>1.
Nenad Teofanov, Filip Tomić
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On the analyticity and Gevrey class regularity up to the boundary for the Euler Equations [PDF]
, 2010 We consider the Euler equations in a three-dimensional Gevrey-class bounded domain. Using Lagrangian coordinates we obtain the Gevrey-class persistence of the solution, up to the boundary, with an explicit estimate on the rate of decay of the Gevrey ...
Baouendi M S Goulaouic C +18 more
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Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations [PDF]
, 2015 We consider the incompressible Euler equations on ${\mathbb R}^d$, where $d \in \{ 2,3 \}$. We prove that: (a) In Lagrangian coordinates the equations are locally well-posed in spaces with fixed real-analyticity radius (more generally, a fixed Gevrey ...
Constantin, Peter +2 more
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A Paley–Wiener theorem in extended Gevrey regularity [PDF]
Journal of Pseudo-Differential Operators and Applications, 2019 In this paper we introduce appropriate associated function to the sequence $M_p=p^{\t p^{\s}}$, $p\in \N$, $\t>0$, $\s>1$, and derive its sharp asymptotic estimates in terms of the Lambert $W$ function. These estimates are used to prove a Paley-Wiener type theorem for compactly supported functions from extended Gevrey classes.
Pilipović, Stevan +2 more
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