Results 41 to 50 of about 160 (145)
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
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
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
Soft Riemann‐Hilbert problems and planar orthogonal polynomials
Abstract Riemann‐Hilbert problems are jump problems for holomorphic functions along given interfaces. They arise in various contexts, for example, in the asymptotic study of certain nonlinear partial differential equations and in the asymptotic analysis of orthogonal polynomials. Matrix‐valued Riemann‐Hilbert problems were considered by Deift et al. in
Haakan Hedenmalm
wiley +1 more source
Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces. [PDF]
Bachmann L +3 more
europepmc +1 more source
FBI transform in Gevrey classes and Anosov flows
v2: Main result improved with respect to v1.
Bonthonneau, Yannick Guedes +1 more
openaire +2 more sources
Ultradifferentiable classes of entire functions. [PDF]
Nenning DN, Schindl G.
europepmc +1 more source
On the Reconstruction Theorem of Holonomlc Modules In the Gevrey Classes
The aim of this paper is to extend a remarkable result due to \textit{T. Kashiwara} and \textit{M. Kawai} [ibid. 17, 813-979 (1981; Zbl 0505.58033)]which asserts that if \({\mathfrak M}\) is a holonomic \({\mathcal E}_ X\) module then there exists an holonomic \({\mathcal E}_ X\) module \({\mathfrak M}_{\text{reg}}\) with regular singularities such ...
openaire +3 more sources
Gevrey hypoellipticity of a class of pseudodifferential operators [PDF]
Let a(x,D) be a pseudo-differential operator of type \(S^ m_{\rho,\delta (\Omega)}\). Let its symbol a(x,\(\xi)\) satisfy the conditions: 1) \(| a(x,\xi)| \geq c| \xi |^{m'}\), \(| \xi | \geq B;\) 2) \(| a^{(\alpha)}_{(\beta)}(x,\xi)| \leq C_ 0C_ 1^{| \alpha +\beta |}B!^{\sigma}| a(x,\xi)| (1+| \xi |)^{-\rho | \alpha | +\delta | \beta |}\), \(x\in ...
openaire +3 more sources

