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Metabolomic Biomarker Identification in Presence of Outliers and Missing Values. [PDF]
Kumar N +4 more
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Echocardiographic evidence for valvular toxicity of benfluorex: a double-blind randomised trial in patients with type 2 diabetes mellitus. [PDF]
Derumeaux G +11 more
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Cdc42 and Tks5: a minimal and universal molecular signature for functional invadosomes. [PDF]
Di Martino J +6 more
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An Integration Factor Method for Stochastic and Stiff Reaction-Diffusion Systems. [PDF]
Ta C, Wang D, Nie Q.
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Cannabinoid CB1 Receptors Inhibit Gut-Brain Satiation Signaling in Diet-Induced Obesity. [PDF]
Argueta DA +3 more
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Fuchsian Hyperbolic Equations in Gevrey Classes
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Gevrey hypoellipticity of a class of pseudodifferential operators
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GEVREY-HYPOELLIPTICITY FOR A CLASS OF TOTALLY CHARACTERISTIC OPERATORS
Acta Mathematica Scientia, 2000The paper presents several new results concerning the Gevrey hypoellipticity of the totally characteristic operators of the form \[ P=t^m D^m_t+ \sum^m_{j=1} P_j(t,x, D_x)t^{m-j} D_t^{m-j}, \] where \(x\in \mathbb{R}^n\) denotes the tangential variable, and \(t\geq 0\) is the normal variable (with the boundary at \(t=0)\).
Tian, Yan, Zhou, Di, Chen, Hua
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Strong hyperbolicity in Gevrey classes
Journal of Differential Equations, 2021In 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)=
Ferruccio Colombini +2 more
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