Results 41 to 50 of about 1,300,131 (168)
de Sitter State in Heterotic String Theory
Abstract Recent no‐go theorems have ruled out four‐dimensional classical de Sitter vacua in heterotic string theory. On the other hand, the absence of a well‐defined Wilsonian effective action and other related phenomena also appear to rule out such time‐dependent vacua with de Sitter isometries, even in the presence of quantum corrections.
Stephon Alexander +4 more
wiley +1 more source
The Zahorski theorem is valid in Gevrey classes [PDF]
The well-known Zahorski theorem [\textit{Z. Zahorski}, Fundam. Math. 34, 183-245 (1947; Zbl 0033.25504)] asserts that for every partition \(\{\Omega,F,G\}\) of \([0,1]\subset\mathbb{R}\), where \(\Omega\) is an open subset of \([0,1]\), \(F\) is a (Baire) first category \(F_\sigma\)-subset of \([0,1]\) and \(G\) is a \(G_\delta\)-subset of \([0,1 ...
Schmets, Jean, Valdivia, Manuel
openaire +2 more sources
Abstract Remote sensing tools, along with Global Navigation Satellite System cattle collars and digital soil maps, may help elucidate spatiotemporal relationships among soils, terrain, forages, and animals. However, standard computational procedures preclude systems‐level evaluations across this continuum due to data inoperability and processing ...
A. J. Ashworth +8 more
wiley +1 more source
Extension Gevrey et rigidité dans un secteur [PDF]
We study a rigidity property, at the vertex of some plane sector, for Gevrey classes of holomorphic functions in the sector.
Thilliez, Vincent
core
In this paper we prove the global $C^\infty$ and Gevrey hypoellipticity on the multidimensional torus for some classes of degenerate elliptic ...
ALBANESE, Angela Anna +1 more
core +1 more source
Taming the terminological tempest in invasion science
ABSTRACT Standardised terminology in science is important for clarity of interpretation and communication. In invasion science – a dynamic and rapidly evolving discipline – the proliferation of technical terminology has lacked a standardised framework for its development.
Ismael Soto +84 more
wiley +1 more source
The Metivier inequality and ultradifferentiable hypoellipticity
Abstract In 1980, Métivier characterized the analytic (and Gevrey) hypoellipticity of L2$L^2$‐solvable partial linear differential operators by a priori estimates. In this note, we extend this characterization to ultradifferentiable hypoellipticity with respect to Denjoy–Carleman classes given by suitable weight sequences. We also discuss the case when
Paulo D. Cordaro, Stefan Fürdös
wiley +1 more source
Cauchy problem for hyperbolic systems in Gevrey class. A note on Gevrey indices [PDF]
The author considers the hyperbolic system \[ \begin{gathered} [I_4 D_t+ A(t) D_x+ B(t)]u(t,x)= 0,\\ u(0,x)= u_0(x)\end{gathered} \] in \(\Omega= [0,T]\times \mathbb{R}^1_x\) where \(I_4\) denotes the unit matrix of order 4 and \[ A(t)= \begin{pmatrix} \lambda(t) & 1 & 0 & 0\\ 0 &\lambda(t) & a(t) & 0\\ 0 & 0 & \mu(t) & 1\\ 0 & 0 & 0 & \mu(t)\end ...
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Propagation des singularités Gevrey pour l'équation de Cauchy-Riemann dégénérée
International audienceIn this paper we study the degenerate Cauchy-Riemann equation in Gevrey classes. We first prove the local solvability in Gevrey classes of functions and ultra-distributions.
Lerner, Nicolas, Lascar, Bernard
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Taylor dispersion and phase mixing in the non‐cutoff Boltzmann equation on the whole space
Abstract In this paper we describe the long‐time behavior of the non‐cutoff Boltzmann equation with soft potentials near a global Maxwellian background on the whole space in the weakly collisional limit (that is, infinite Knudsen number 1/ν→∞$1/\nu \rightarrow \infty$). Specifically, we prove that for initial data sufficiently small (independent of the
Jacob Bedrossian +2 more
wiley +1 more source

