Results 11 to 20 of about 518 (155)
An Introduction to Extended Gevrey Regularity
AxiomsGevrey 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 +2 more
doaj +5 more sources
Gelfand–Shilov Spaces for Extended Gevrey Regularity
AxiomsWe 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 +2 more
doaj +4 more sources
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.
Shi-you Lin
doaj +4 more sources
Minimal Gevrey Regularity for Hörmander Operators [PDF]
International Mathematics Research Notices, 2023 We prove a minimal Gevrey regularity theorem for Hormander's sum of squares type operators (), improving the result of Derridj and Zuily []. The Gevrey index given here is optimal, in the sense that there are operators of this type that just attain that ...
Bove, Antonio, Mughetti, Marco
core +3 more sources
On nonlinear Landau damping and Gevrey regularity
Nonlinear Analysis, 2023 In this article we study the problem of nonlinear Landau damping for the Vlasov-Poisson equations on the torus. As our main result we show that for perturbations initially of size $\epsilon > 0$ and time intervals $(0, \epsilon−N)$ one obtains nonlinear ...
Zillinger, Christian
core +5 more sources
Gevrey regularity for integro-differential operators [PDF]
, 2013 We prove a regularity theory in the Gevrey class for a family of nonlocal differential equations of elliptic ...
Fiscella, Alessio +2 more
core +3 more sources
Gevrey regularity of subelliptic Monge-Ampère equations in the plane
Advances in Mathematics, 2011 In this paper, we establish the Gevrey regularity of solutions for a class of degenerate Monge–Ampère equations in the plane. Under the assumptions that one principal entry of the Hessian is strictly positive and the coefficient of the equation is ...
Xu, Chao-Jiang +3 more
core +5 more sources
GEVREY SOLVABILITY AND GEVREY REGULARITY IN DIFFERENTIAL COMPLEXES ASSOCIATED TO LOCALLY INTEGRABLE STRUCTURES [PDF]
Transactions of the American Mathematical Society, 2011 In this work we study some properties of the differential complex associated to a locally integrable (involutive) structure acting on forms with Gevrey coefficients.
CAETANO, Paulo A. S., CORDARO, Paulo D.
core +2 more sources
Gevrey regularity for integro-differential operators
Journal of Mathematical Analysis and Applications, 2015 We prove for some singular kernels K(x, y) that viscosity solutions of the integro-differential equation. ∫Rn[u(x+y)+u(x-y)-2u(x)]K(x,y)dy=f(x) locally belong to some Gevrey class if so does f.
A. Fiscella +5 more
core +5 more sources
Gevrey class regularity for analytic differential-delay equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2016 This paper considers differential-delay equations of the form \[x'(t)=p(t)x(t-1),\] where the coefficient function $p\colon\mathbb{R}\rightarrow\mathbb{C}$ is analytic and not bounded on any $\delta$-neighborhood of the intervals $\left(-\infty,\gamma ...
Roger Nussbaum, Gabriella Vas
doaj +2 more sources