Results 1 to 10 of about 2,630 (152)

A Phragm\'en-Lindel\"of theorem via proximate orders, and the propagation of asymptotics [PDF]

J Geom Anal, 2017
We prove that, for asymptotically bounded holomorphic functions in a sector in $\mathbb{C}$, an asymptotic expansion in a single direction towards the vertex with constraints in terms of a logarithmically convex sequence admitting a nonzero proximate ...
Jiménez-Garrido, Javier, Sanz, Javier, Schindl, Gerhard   +2 more
core   +2 more sources

On some generalizations of Gevrey classes

Mathematische Nachrichten, 2011
The research of M. Carmen Gomez-Collado was partially supported by FEDER and MEC, Proyect No. MTM2007-62643, and Project No. MTM2010-15200.
Maria del Carmen Gómez-Collado
exaly   +4 more sources

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

Extended Gevrey Regularity via Weight Matrices

Axioms, 2022
The main aim of this paper is to compare two recent approaches for investigating the interspace between the union of Gevrey spaces Gt(U) and the space of smooth functions C∞(U). The first approach in the style of Komatsu is based on the properties of two
Nenad Teofanov, Filip Tomić
doaj   +1 more source

On the regularity of the solutions and of analytic vectors for “sums of squares”

Bruno Pini Mathematical Analysis Seminar, 2023
We present a brief survey on some recent results concerning the local and global regularity of the solutions for some classes/models of sums of squares of vector fields with real-valued real analytic coefficients of H"ormander type.
Gregorio Chinni
doaj   +1 more source

Gevrey Hypoellipticity for a Class of Kinetic Equations [PDF]

Communications in Partial Differential Equations, 2011
In this paper, we study the Gevrey regularity of weak solutions for a class of linear and semi-linear kinetic equations, which are the linear model of spatially inhomogeneous Boltzmann equations without an angular cutoff.
Chen, Hua, Li, Weixi, Xu, Chao-Jiang
openaire   +4 more sources

The Growth of Hypoelliptic Polynomials and Gevrey Classes [PDF]

Proceedings of the American Mathematical Society, 1973
For given hypoelliptic polynomials P P and Q Q , classes Γ P ρ ( Ω ) \Gamma _P^\rho (\Omega ) and Γ Q ρ ( Ω ) \Gamma _Q^\rho (\Omega ) involving Gevrey type ...
Newberger, E., Zielezny, Z.
openaire   +1 more source

Eigenfunction expansions of ultradifferentiable functions and ultradistributions [PDF]

, 2016
In this paper we give a global characterisation of classes of ultradifferentiable functions and corresponding ultradistributions on a compact manifold $X$.
Dasgupta, Aparajita, Ruzhansky, Michael
core   +3 more sources

Solvability in Gevrey Classes of Some Nonlinear Fractional Functional Differential Equations

International Journal of Differential Equations, 2020
Our purpose in this paper is to prove, under some regularity conditions on the data, the solvability in a Gevrey class of bound −1 on the interval −1,1 of a class of nonlinear fractional functional differential equations.
Hicham Zoubeir
doaj   +1 more source

Regularity Analysis for an Abstract System of Coupled Hyperbolic and Parabolic Equations [PDF]

, 2014
In this paper, we provide a complete regularity analysis for an abstract system of coupled hyperbolic and parabolic equations in a complex Hilbert space.
Hao, Jianghao, Liu, Zhuangyi, Yong, Jiongmin   +2 more
core   +1 more source