Results 31 to 40 of about 2,438 (123)

Almost periodic pseudodifferential operators and Gevrey classes

, 2011
We study almost periodic pseudodifferential operators acting on almost periodic functions $G_{\rm ap}^s(\rr d)$ of Gevrey regularity index $s \geq 1$. We prove that almost periodic operators with symbols of H\"ormander type $S_{\rho,\delta}^m$ satisfying
Oliaro, Alessandro, Rodino, Luigi, Wahlberg, Patrik   +2 more
core   +1 more source

An Introduction to Extended Gevrey Regularity

Axioms
Gevrey classes are the most common choice when considering the regularities of smooth functions that are not analytic. However, in various situations, it is important to consider smoothness properties that go beyond Gevrey regularity, for example, when initial value problems are ill-posed in Gevrey settings.
Nenad Teofanov, Filip Tomić, Milica Žigić   +2 more
openaire   +3 more sources

Beyond gevrey regularity: Superposition and propagation of singularities

Filomat, 2018
We propose the relaxation of Gevrey regularity condition by using sequences which depend on two parameters, and define spaces of ultradifferentiable functions which contain Gevrey classes. It is shown that such a space is closed under superposition, and therefore inverse closed as well.
Pilipović, Stevan, Teofanov, Nenad, Tomić, Filip   +2 more
openaire   +3 more sources

Gevrey regularity for the Vlasov-Poisson system

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2021
We prove propagation of \frac{1}{s} -Gevrey regularity (s \in (0,1]) for the Vlasov-Poisson system on \mathbb{T}^{d} \times \mathbb{R}^{d} using a Fourier space method in analogy ...
openaire   +3 more sources

Gevrey solvability and Gevrey regularity in differential complexes associated to locally integrable structures [PDF]

Transactions of the American Mathematical Society, 2011
The authors consider the differential complex associated to a locally integrable involutive structure. Assuming local solvability in the classical sense, they prove that also \(G^s\)-Gevrey solvability holds. The main tool in the proof is given by the theory of the ultradifferential operators of \textit{H. Komatsu} [J. Fac. Sci., Univ. Tokyo, Sect. I A
Caetano, Paulo A. S., Cordaro, Paulo D.
openaire   +1 more source

On the Gevrey regularity for Sums of Squares of vector fields, study of some models

, 2018
The micro-local Gevrey regularity of a class of "sums of squares" with real analytic coefficients is studied in detail.
Chinni, Gregorio
core   +1 more source

Local Gevrey Regularity for Linearized Homogeneous Boltzmann Equation [PDF]

Journal of Function Spaces and Applications, 2012
The local Gevrey regularity of the solutions of the linearized spatially homogeneous Boltzmann equation has been shown in the non-Maxwellian case with mild singularity.
openaire   +3 more sources

Gevrey Regularity of Invariant Curves of Analytic Reversible Mappings [PDF]

Advances in Difference Equations, 2010
More than a decade ago, it was discovered by \textit{G. Popov} [Ann. Henri Poincaré 1, No. 2, 223--248 (2000; Zbl 0970.37050)] that KAM tori of real-analytic Kolmogorov non-degenerate nearly integrable Hamiltonian systems form a Gevrey-regular family (in the sense of Whitney). The result of the present paper lies in this area of research.
Dongfeng Zhang, Rong Cheng
openaire   +4 more sources

On the stability of vacuum in the screened Vlasov–Poisson equation

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We study the asymptotic behavior of small data solutions to the screened Vlasov–Poisson equation on Rd×Rd$\mathbb {R}^d\times \mathbb {R}^d$ near vacuum. We show that for dimensions d⩾2$d\geqslant 2$, under mild assumptions on localization (in terms of spatial moments) and regularity (in terms of at most three Sobolev derivatives) solutions ...
Mikaela Iacobelli, Stefano Rossi, Klaus Widmayer   +2 more
wiley   +1 more source