Results 41 to 50 of about 142 (127)

Some topics on the regularity of analytic-Gevrey vectors

Bruno Pini Mathematical Analysis Seminar
My aim is to give, in this talk, some topics on the question of regularity of Analytic-Gevrey vectors of partial differential operators (p.d.o.) with analytic-Gevrey coefficients.
Makhlouf Derridj
doaj   +1 more source

Well-Posedness and Time Regularity for a System of Modified Korteweg-de Vries-Type Equations in Analytic Gevrey Spaces

Mathematics, 2020
Studies of modified Korteweg-de Vries-type equations are of considerable mathematical interest due to the importance of their applications in various branches of mechanics and physics. In this article, using trilinear estimate in Bourgain spaces, we show
Aissa Boukarou, Kaddour Guerbati, Khaled Zennir, Sultan Alodhaibi, Salem Alkhalaf   +4 more
doaj   +1 more source

Algebra Properties in Fourier-Besov Spaces and Their Applications

Journal of Function Spaces, 2018
We estimate the norm of the product of two scale functions in Fourier-Besov spaces. As applications of these algebra properties, we establish the global well-posedness for small initial data and local well-posedness for large initial data of the ...
Xuhuan Zhou, Weiliang Xiao
doaj   +1 more source

A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity

Mathematische Nachrichten, EarlyView.
ABSTRACT We consider a two by two system of inequalities which include fractional powers of the Laplace operator, coupled through a semilinear term of derivative type. We prove the nonexistence of global‐in‐time weak solutions for powers below the critical curve and possibly on the critical curve.
Marcello D'Abbicco, Antonio Lagioia
wiley   +1 more source

An Algebraic Study of Parametric Stokes Phenomena

Studies in Applied Mathematics, Volume 157, Issue 1, July 2026.
ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
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

Gevrey regularity for the Vlasov-Poisson system

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2021
We prove propagation of \frac{1}{s} -Gevrey regularity (s \in (0,1]) for the Vlasov-Poisson system on \mathbb{T}^{d} \times \mathbb{R}^{d} using a Fourier space method in analogy ...
openaire   +3 more sources

Well-Posedness in M-Ultradifferentiable Spaces for Weakly Hyperbolic Cauchy Problems with Hölder Continuous Coefficients

ITEGAM-JETIA
In this article, we demonstrate the weakly hyperbolic Cauchy problem under Hölder's regularity of a coefficient depending on time in the context of M-ultradifferentiable well-posedness.
Said Bouaziz, Khaled Benmeriem, Laid Gasmi   +2 more
doaj   +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