Results 11 to 20 of about 1,300,131 (168)

Inhomogeneous Gevrey classes and ultradistributions

Journal of Mathematical Analysis and Applications, 2004
Starting from the definition of inhomogeneous Gevrey classes given by \textit{O. Liess} and \textit{L. Rodino} [Boll. Unione Mat. Ital., VI. Ser., C, Anal. Funz. Appl. 3, 233--323 (1984; Zbl 0557.35131)], the authors introduce the non-quasi-analytic inhomogeneous Gevrey classes of Roumieu type, denoted by \(G^{s, \lambda}.\) Such a class of ...
Calvo, Daniela, MORANDO, Alessandro, Rodino, Luigi   +2 more
openaire   +4 more sources

Gelfand–Shilov Spaces for Extended Gevrey Regularity

Axioms
We consider spaces of smooth functions obtained by relaxing Gevrey-type regularity and decay conditions. It is shown that these classes can be introduced by using the general framework of the weighted matrices approach to ultradifferentiable functions ...
Nenad Teofanov, Filip Tomić, Milica Žigić   +2 more
doaj   +2 more sources

An Introduction to Extended Gevrey Regularity [PDF]

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 ...
Nenad Teofanov, Filip Tomić, Milica Žigić   +2 more
doaj   +3 more sources

Hypoellipticity and local solvability of pseudolocal continuous linear operators in Gevrey classes [PDF]

, 2004
In this paper we extend a well-known result concerning hypoellipticity and local solvability of linear partial differential operators on Schwartz distributions to the framework of pseudolocal continuous linear maps T acting on Gevrey classes.
MORANDO, Alessandro
core   +2 more sources

Symbols of Pseudodifferential Operators Associated to Gevrey Kernel's Type [PDF]

, 2003
In this article, we aim at proving the truthfulness of the inverse Theorem (1) of [5]. More precisely, we associated symbols of Gevrey type to pseudodifferential operators when the latter are given by their kernels.
Hazi, Mohammed
core   +1 more source

Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations

Communications on Pure and Applied Mathematics, Volume 76, Issue 12, Page 3685-3768, December 2023., 2023
Abstract We investigate the long‐time properties of the two‐dimensional inviscid Boussinesq equations near a stably stratified Couette flow, for an initial Gevrey perturbation of size ε. Under the classical Miles‐Howard stability condition on the Richardson number, we prove that the system experiences a shear‐buoyancy instability: the density variation
Jacob Bedrossian, Roberta Bianchini, Michele Coti Zelati, Michele Dolce   +3 more
wiley   +1 more source

Persistence time of solutions of the three-dimensional Navier-Stokes equations in Sobolev-Gevrey classes

, 2021
In this paper, we study existence times of strong solutions of the three-dimensional Navier-Stokes equations in time-varying analytic Gevrey classes based on Sobolev spaces Hᶳ,s > ½. This complements the seminal work of Foias and Temam (1989) on H¹ based
Hudson, Joshua, Biswas, Animikh, Tian, Jing   +2 more
core   +1 more source

Propagation of Gevrey Regularity for a Class of Hypoelliptic Equations [PDF]

Transactions of the American Mathematical Society, 1996
We prove results on the propagation of Gevrey and analytic wave front sets for a class of C ∞
Bove, Antonio, Tartakoff, David S.
openaire   +2 more sources

Gevrey class regularity for parabolic equations

Differential and Integral Equations, 2001
We consider the regularity of parabolic equations. We obtain that the solution belongs to Gevrey class 2 up to the boundary if functions in the equation belong to Gevrey class 2 in all dependent variables.
Lee, Pei-Ling, Guo, Yung-Jen Lin
openaire   +3 more sources

On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator of orders less than one

Open Mathematics, 2019
It is shown that, if all weak solutions of the evolution ...
Markin Marat V.
doaj   +1 more source