Results 31 to 40 of about 2,630 (152)

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   +1 more source

Paradifferential calculus in Gevrey classes

Kyoto Journal of Mathematics, 2001
The paper presents a paradifferential calculus adapted to the study of nonlinear partial differential equations in Gevrey classes. Namely, in the second section of the paper the authors consider Gevrey-Sobolev spaces \(H^s_{\lambda,\sigma}\) defined by the norms \[ \biggl \|\exp \bigl(\lambda |D|^{1/ \sigma}\bigr)u \biggr\|_{H^s(\mathbb{R}^n)}.
CHEN H., RODINO, Luigi Giacomo
openaire   +3 more sources

Beyond Gevrey regularity

, 2016
We define and study classes of smooth functions which are less regular than Gevrey functions. To that end we introduce two-parameter dependent sequences which do not satisfy Komatsu's condition (M.2)', which implies stability under differential operators
Pilipović, Stevan, Teofanov, Nenad, Tomić, Filip   +2 more
core   +1 more source

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

Global Solvability of the Generalized Navier−Stokes System in Critical Besov Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper is devoted to the global solvability of the Navier−Stokes system with a fractional Laplacian (−Δ)α in Rn for n ≥ 2, where the convective term has the form (|u|m−1u)·∇u for m ≥ 1. By establishing the estimates for the difference u1m−1u1−u2m−1u2 in homogeneous Besov spaces and employing the maximal regularity property of (−Δ)α in Lorentz−Besov
Huiyang Zhang, Shiwei Cao, Qinghua Zhang, Dengfeng Lu   +3 more
wiley   +1 more source

Gevrey Regularity and Local Well-Posedness for the HirotaSatsuma System

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper, we examine the local well-posedness of the initial value problem for the HirotaSatsuma system within Gevrey spaces. This system, which consists of a coupled nonlinear dispersive partial differential equation, models the interactions ...
Boudersa Feriel, Mennouni Abdelaziz, Agarwal Ravi P.   +2 more
doaj   +1 more source

Evaluating Environmental Predictors of Fish Community Composition in a Semi‐Arid River System Using a Model‐Based Approach

Ecology of Freshwater Fish, Volume 34, Issue 3, July 2025.
ABSTRACT Understanding how the environment shapes species distribution and affects biodiversity patterns is important in ecology and conservation. Environmental stressors like climate change and anthropogenic impacts may lead to a significant decline in aquatic biodiversity.
Mojgan Zare Shahraki, Pejman Fathi, Sami Domisch, Andreas Bruder, Eisa Ebrahimi Dorcheh, Alireza Esmaeili Ofogh, Thomas Mehner   +6 more
wiley   +1 more source

Partial hyperbolicity and partial gevrey classes

Journal of Differential Equations, 1981
Let P(D) be a linear partial differential operator of order m > 0 with constant coefficients in R” + ‘. Let d = (d,, d, ,..., d,) E R”+ i, 0 0 be an integer.
openaire   +1 more source

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 ...
D. Calvo, A. Morando, RODINO, Luigi Giacomo   +2 more
openaire   +4 more sources

Improved Gevrey‐1 Estimates of Formal Series Expansions of Center Manifolds

Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.
ABSTRACT In this paper, we show that the coefficients ϕn$\phi _n$ of the formal series expansions ∑n=1∞ϕnxn∈xC[[x]]$\sum _{n=1}^\infty \phi _n x^n\in x\mathbb {C}[[x]]$ of center manifolds of planar analytic saddle‐nodes grow like Γ(n+a)$\Gamma (n+a)$ (after rescaling x$x$) as n→∞$n\rightarrow \infty$.
Kristian Uldall Kristiansen
wiley   +1 more source