Results 41 to 50 of about 160 (145)

Predicting spatiotemporal patterns of productivity and grazing from multispectral data using neural network analysis based on system complexity

open access: yesAgrosystems, Geosciences &Environment, Volume 7, Issue 3, September 2024.
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

open access: yesBiological Reviews, Volume 99, Issue 4, Page 1357-1390, August 2024.
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

open access: yesMathematische Nachrichten, Volume 297, Issue 7, Page 2517-2531, July 2024.
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

open access: yesProceedings of the London Mathematical Society, Volume 129, Issue 1, July 2024.
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

open access: yesCommunications on Pure and Applied Mathematics, Volume 77, Issue 4, Page 2413-2451, April 2024.
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]

open access: yesPhilos Trans A Math Phys Eng Sci, 2023
Bachmann L   +3 more
europepmc   +1 more source

FBI transform in Gevrey classes and Anosov flows

open access: yesAstérisque
v2: Main result improved with respect to v1.
Bonthonneau, Yannick Guedes   +1 more
openaire   +2 more sources

Ultradifferentiable classes of entire functions. [PDF]

open access: yesAdv Oper Theory, 2023
Nenning DN, Schindl G.
europepmc   +1 more source

On the Reconstruction Theorem of Holonomlc Modules In the Gevrey Classes

open access: yesPublications of the Research Institute for Mathematical Sciences, 1991
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]

open access: yesTohoku Mathematical Journal, 1987
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

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