Results 21 to 30 of about 3,471 (160)

Regularity Analysis for an Abstract System of Coupled Hyperbolic and Parabolic Equations [PDF]

, 2014
In this paper, we provide a complete regularity analysis for an abstract system of coupled hyperbolic and parabolic equations in a complex Hilbert space.
Hao, Jianghao, Liu, Zhuangyi, Yong, Jiongmin   +2 more
core   +1 more source

Propagation of Gevrey Regularity for a Class of Hypoelliptic Equations [PDF]

Transactions of the American Mathematical Society, 1996
We prove results on the propagation of Gevrey and analytic wave front sets for a class of C ∞ C^\infty hypoelliptic equations with double characteristics.
Bove, Antonio, Tartakoff, David S.
openaire   +2 more sources

Gevrey class regularity for parabolic equations

Differential and Integral Equations, 2001
We consider the regularity of parabolic equations. We obtain that the solution belongs to Gevrey class 2 up to the boundary if functions in the equation belong to Gevrey class 2 in all dependent variables.
Lee, Pei-Ling, Guo, Yung-Jen Lin
openaire   +3 more sources

On some generalizations of Gevrey classes

Mathematische Nachrichten, 2011
The research of M. Carmen Gomez-Collado was partially supported by FEDER and MEC, Proyect No. MTM2007-62643, and Project No. MTM2010-15200.
Daniela Calvo, María del Carmen Gómez-Collado   +1 more
openaire   +3 more sources

Propagation of Gevrey regularity for solutions of Landau equations [PDF]

, 2008
By using the energy-type inequality, we obtain, in this paper, the result on propagation of Gevrey regularity for the solution of the spatially homogeneous Landau equation in the cases of Maxwellian molecules and hard ...
Chen, Hua, Li, Weixi, Xu, Chao-Jiang
core   +4 more sources

On the integrability of the n-centre problem

, 2004
It is known that for $n \geq 3$ centres and positive energies the $n$-centre problem of celestial mechanics leads to a flow with a strange repellor and positive topological entropy.
Knauf, Andreas, Taimanov, Iskander A.
core   +2 more sources

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

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

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