Results 21 to 30 of about 168 (145)
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 +2 more
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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 +2 more
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Ramified Asymptotic Expansions for Some Linear Initial Value Problem With Mahler Transforms
Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.We focus on a linear partial differential initial value problem in complex time t and complex space combined with time acting Mahler transforms. Bounded holomorphic solutions on bounded sectors edged at the origin in time and on horizontal strips in space are constructed by means of infinite sums of Fourier–Laplace transforms.
Stéphane Malek, Deepali Deepali
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we consider the initial value problem associated with the cubic nonlinear Schrödinger equation with third‐order dispersion ∂tu+iα∂x2u+β∂x3u+iγu2u=0,x∈ℝ,t∈ℝ,ux,0=u0x, where α, β and γ are real constants such that β, γ ≠ 0, u is a complex valued function and the initial data u0 is analytic on ℝ and has a uniform radius of analyticity σ0 in
Tegegne Getachew, Xiasheng Shi
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Newton Polygons and Formal Gevrey Classes
Publications of the Research Institute for Mathematical Sciences, 1990 Untersucht wird ein Cauchyproblem \(Pu=f(t,x)\), \(D^ j_ tu|_{t=0}=g_ j\) (0\(\leq j\leq m-1)\) wobei P die Form hat \(P=D_ t^ m+\sum_{0\leq jm\) ist. Hierzu existiert eine eindeutige Lösung \(u\in G^{\infty}\), nämlich als eine formale Potenzreihe. Gezeigt wird: es ist \(u\in G^ s\) mit \(s=1+1/k_ 1\).
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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 +3 more
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The Zahorski theorem is valid in Gevrey classes [PDF]
Fundamenta Mathematicae, 1996 The well-known Zahorski theorem [\textit{Z. Zahorski}, Fundam. Math. 34, 183-245 (1947; Zbl 0033.25504)] asserts that for every partition \(\{\Omega,F,G\}\) of \([0,1]\subset\mathbb{R}\), where \(\Omega\) is an open subset of \([0,1]\), \(F\) is a (Baire) first category \(F_\sigma\)-subset of \([0,1]\) and \(G\) is a \(G_\delta\)-subset of \([0,1 ...
Schmets, Jean, Valdivia, Manuel
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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 +6 more
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Electronic Journal of Differential Equations, 2017 We show that any germ of smooth hyperbolic diffeomophism at a fixed point is conjugate to its linear part, using a transformation with a Mourtada type functions, which (roughly) means that it may contain terms like $x \log |x|$.
Patrick Bonckaert, Vincent Naudot
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Umbral Theory and the Algebra of Formal Power Series
AxiomsUmbral theory, formulated in its modern version by S. Roman and G. C. Rota, has been reconsidered in more recent times by G. Dattoli and collaborators with the aim of devising a working computational tool in the framework of special function theory ...
Roberto Ricci
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