Results 61 to 70 of about 518 (155)

Gevrey micro-regularity for solutions to first order nonlinear PDE

, 2009
Let (x,t)∈Rm×R and u∈C2(Rm×R). We study the Gevrey micro-regularity of solutions u of the nonlinear equationut=f(x,t,u,ux), where f(x,t,ζ0,ζ) is a Gevrey function of order s>1 and holomorphic in (ζ0,ζ).
Petronilho, G., Barostichi, R.F.
core   +1 more source

On local Gevrey regularity for Gevrey vectors of subelliptic sums of squares: an elementary proof of a sharp Gevrey Kotake–Narasimhan theorem [PDF]

ANNALI DELL'UNIVERSITA' DI FERRARA, 2017
We study the regularity of Gevrey vectors for Hörmander operators $$ P = \sum_{j=1}^m X_j^2 + X_0 + c$$ where the $X_j$ are real vector fields and $c(x)$ is a smooth function, all in Gevrey class $G^{s}.$ The principal hypothesis is that $P$ satisfies the subelliptic estimate: for some $\varepsilon >0, \; \exists \,C$ such that $$\|v\|_\varepsilon^2
openaire   +2 more sources

Taming the terminological tempest in invasion science

Biological Reviews, Volume 99, Issue 4, Page 1357-1390, August 2024.
ABSTRACT Standardised terminology in science is important for clarity of interpretation and communication. In invasion science – a dynamic and rapidly evolving discipline – the proliferation of technical terminology has lacked a standardised framework for its development.
Ismael Soto, Paride Balzani, Laís Carneiro, Ross N. Cuthbert, Rafael Macêdo, Ali Serhan Tarkan, Danish A. Ahmed, Alok Bang, Karolina Bacela‐Spychalska, Sarah A. Bailey, Thomas Baudry, Liliana Ballesteros‐Mejia, Alejandro Bortolus, Elizabeta Briski, J. Robert Britton, Miloš Buřič, Morelia Camacho‐Cervantes, Carlos Cano‐Barbacil, Denis Copilaș‐Ciocianu, Neil E. Coughlan, Pierre Courtois, Zoltán Csabai, Tatenda Dalu, Vanessa De Santis, James W. E. Dickey, Romina D. Dimarco, Jannike Falk‐Andersson, Romina D. Fernandez, Margarita Florencio, Ana Clara S. Franco, Emili García‐Berthou, Daniela Giannetto, Milka M. Glavendekic, Michał Grabowski, Gustavo Heringer, Ileana Herrera, Wei Huang, Katie L. Kamelamela, Natalia I. Kirichenko, Antonín Kouba, Melina Kourantidou, Irmak Kurtul, Gabriel Laufer, Boris Lipták, Chunlong Liu, Eugenia López‐López, Vanessa Lozano, Stefano Mammola, Agnese Marchini, Valentyna Meshkova, Marco Milardi, Dmitrii L. Musolin, Martin A. Nuñez, Francisco J. Oficialdegui, Jiří Patoka, Zarah Pattison, Daniel Pincheira‐Donoso, Marina Piria, Anna F. Probert, Jes Jessen Rasmussen, David Renault, Filipe Ribeiro, Gil Rilov, Tamara B. Robinson, Axel E. Sanchez, Evangelina Schwindt, Josie South, Peter Stoett, Hugo Verreycken, Lorenzo Vilizzi, Yong‐Jian Wang, Yuya Watari, Priscilla M. Wehi, András Weiperth, Peter Wiberg‐Larsen, Sercan Yapıcı, Baran Yoğurtçuoğlu, Rafael D. Zenni, Bella S. Galil, Jaimie T. A. Dick, James C. Russell, Anthony Ricciardi, Daniel Simberloff, Corey J. A. Bradshaw, Phillip J. Haubrock   +84 more
wiley   +1 more source

The Metivier inequality and ultradifferentiable hypoellipticity

Mathematische Nachrichten, Volume 297, Issue 7, Page 2517-2531, July 2024.
Abstract In 1980, Métivier characterized the analytic (and Gevrey) hypoellipticity of L2$L^2$‐solvable partial linear differential operators by a priori estimates. In this note, we extend this characterization to ultradifferentiable hypoellipticity with respect to Denjoy–Carleman classes given by suitable weight sequences. We also discuss the case when
Paulo D. Cordaro, Stefan Fürdös
wiley   +1 more source

NAVIER–STOKES EQUATIONS ON THE β-PLANE [PDF]

, 2012
Mathematical analysis has been undertaken for the vorticity formulation of the two dimensional Navier–Stokes equation on the β-plane with periodic boundary conditions. This equation describes the flow of fluid near the equator of the Earth. The long time
Al-Jaboori, Mustafa Ali Hussain, AL-JABOORI, MUSTAFA,ALI,HUSSAIN   +1 more
core  

Taylor dispersion and phase mixing in the non‐cutoff Boltzmann equation on the whole space

Proceedings of the London Mathematical Society, Volume 129, Issue 1, July 2024.
Abstract In this paper we describe the long‐time behavior of the non‐cutoff Boltzmann equation with soft potentials near a global Maxwellian background on the whole space in the weakly collisional limit (that is, infinite Knudsen number 1/ν→∞$1/\nu \rightarrow \infty$). Specifically, we prove that for initial data sufficiently small (independent of the
Jacob Bedrossian, Michele Coti Zelati, Michele Dolce   +2 more
wiley   +1 more source

Band-limited wavelets beyond Gevrey regularity

International Journal of Wavelets, Multiresolution and Information Processing
It is known that a smooth function of exponential decay at infinity cannot be an orthonormal wavelet. Dziubański and Hernández constructed smooth orthonormal wavelets of Gevrey-type subexponential decay. We weaken the Gevrey-type decay and construct orthonormal wavelets of subexponential decay related to the so-called extended Gevrey classes.
Nenad Teofanov, Filip Tomic, Stefan Tutic   +2 more
openaire   +3 more sources

Resurgent aspects of applied exponential asymptotics

Studies in Applied Mathematics, Volume 152, Issue 3, Page 974-1025, April 2024.
Abstract In many physical problems, it is important to capture exponentially small effects that lie beyond‐all‐orders of an algebraic asymptotic expansion; when collected, the full asymptotic expansion is known as a trans‐series. Applied exponential asymptotics has been enormously successful in developing practical tools for studying the leading ...
Samuel Crew, Philippe H. Trinh
wiley   +1 more source

Solutions of Inhomogeneous Multiplicatively Advanced ODEs and PDEs with a q‐Fredholm Theory and Applications to a q‐Advanced Schrödinger Equation

Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.
For q > 1, a new Green’s function provides solutions of inhomogeneous multiplicatively advanced ordinary differential equations (iMADEs) of form y(N)(t) − Ay(qt) = f(t) for t ∈ [0, ∞). Such solutions are extended to global solutions on ℝ. Applications to inhomogeneous separable multiplicatively advanced partial differential equations are presented ...
David W. Pravica, Njinasoa Randriampiry, Michael J. Spurr, Paul Eloe   +3 more
wiley   +1 more source

Gevrey class regularity for the viscous Camassa–Holm equations

Applied Mathematics Letters, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yongjiang Yu, Kaitai Li
openaire   +1 more source