Gevrey classes - Open Access .click

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Ultradifferentiable fundamental kernels of linear partial differential operators on non-quasianalytic classes of Roumieu type [PDF]

, 2007
Let $P$ be a linear partial differential operator with coefficients in the Roumieu class ${\cal E}_{\{\omega\}}(\Omega)$. We prove that if $P$ and its transpose operator $^tP$ are $\{\omega\}$-hypoelliptic in $\Omega$ and surjective on the space ${\cal E}
ALBANESE, Angela Anna, BONET J.
core +1 more source

Gevrey order and summability of formal series solutions of certain classes of inhomogeneous linear integro-differential equations with variable coefficients [PDF]

, 2016
In this article, we investigate Gevrey and summability properties of formal power series solutions of certain classes of inhomogeneous linear integro-differential equations with analytic coefficients in a neighborhood of $(0,0)\in\mathbb{C}^{2}$.
Remy, Pascal
core +2 more sources

The adiabatic theorem for switching processes with Gevrey class regularity [PDF]

, 2000
The adiabatic theorem in quantum mechanics can be understood as an effect of phase space tunneling. This allows us to use microlocal methods from the theory of pseudo differential operators to proof an adiabatic theorem where the Hamiltonian (as a ...
Jung, K. (Berlin Technische Univ. (Germany). Fachbereich 3 - Mathematik) +1 more
core

Transposon accumulation at xenobiotic gene family loci in aphids. [PDF]

Genome Res, 2023
Baril T, Pym A, Bass C, Hayward A.
europepmc +1 more source

The Zahorski theorem is valid in Gevrey classes [PDF]

, 2020
. Let {Ω, F, G} be a partition of R n such that Ω is open, F is Fσ and of the first category, and G is G δ . We prove that, for every γ ∈ ]1, ∞[, there is an element of the Gevrey class Γγ which is analytic on Ω, has F as its set of defect points and has
Jean S, Liège, Manuel
core

Determinants of coronavirus disease 2019 infection by artificial intelligence technology: A study of 28 countries. [PDF]