《泛函分析杂志》展示了现代泛函分析发挥基本作用的所有科学学科的原创研究论文。发表了各种跨学科领域的科学家的文章。研究领域包括： • 泛函分析的重要应用，包括在其他数学领域的应用 • 泛函分析的新发展 • 对泛函分析中重要问题和挑战的贡献

The Journal of Functional Analysis publishes original research papers that showcase the fundamental role of modern functional analysis across various scientific disciplines. It features articles from scientists in diverse interdisciplinary fields. The areas of research include: • Significant applications of functional analysis in other areas of mathematics • New developments in functional analysis • Contributions to important problems and challenges in functional analysis.

《Journal of Functional Analysis》刊登了现代泛函分析在各科学领域中的原创研究论文，展示了其基本作用。文章涵盖了多个跨学科领域，研究内容包括： • 泛函分析在其他数学领域的重要应用 • 泛函分析的新发展 • 对泛函分析中重要问题和挑战的贡献

Journal of Functional Analysis

Soit G le groupe libre non commutatif sur deux generateurs et soit U j (j=1,2) les unites dans l 2 (G) correspondant a la translation a gauche par les generateurs et on considere ξ∈l 2 (G) la fonction ξ(g)=δ g,e . Soient X j des operateurs de la forme X j =φ j (u j ). Les operateurs X j peuvent etre consideres comme des variables aleatoires de moments , ou de facon equivalente avec des distributions donnees par les fonctionnelles analytiques μ j , ou μ j (f)= . Avec ces conventions la distribution de X 1 +X 2 depend seulement des distributions de X 1 et X 2 . On explique cette relation

Dan Voiculescu

Addition of certain non-commuting random variables

某些非交换随机变量的添加

In this paper we study a nonlocal equation that takes into account convective and diffusive effects, ut=J∗u−u+G∗(f(u))−f(u) in Rd, with J radially symmetric and G not necessarily symmetric. First, we prove existence, uniqueness and continuous dependence with respect to the initial condition of solutions. This problem is the nonlocal analogous to the usual local convection–diffusion equation ut=Δu+b⋅∇(f(u)). In fact, we prove that solutions of the nonlocal equation converge to the solution of the usual convection–diffusion equation when we rescale the convolution kernels J and G appropriately. Finally we study the asymptotic behaviour of solutions as t→∞ when f(u)=|u|q−1u with q>1. We find the decay rate and the first-order term in the asymptotic regime.

Liviu I. Ignat

Julio D. Rossi

A nonlocal convection–diffusion equation

非局部对流-扩散方程

In this paper, we establish a moderate deviation principle for two-dimensional stochastic Navier–Stokes equations driven by multiplicative Lévy noises. The weak convergence method introduced by Budhiraja, Dupuis and Ganguly in [3] plays a key role.

Zhao Dong

Jie Xiong

Jianliang Zhai

Tusheng Zhang

A moderate deviation principle for 2-D stochastic Navier–Stokes equations driven by multiplicative Lévy noises

乘性Lévy噪声驱动的二维随机Navier-Stokes方程的中偏差原理

Heming Jiao

Zhizhang Wang

Second order estimates for convex solutions of degenerate k-Hessian equations

退化k-Hessian方程凸解的二阶估计

There are three basic types of self-adjoint regular and singular boundary conditions: separated, coupled, and mixed. For even order problems with real coefficients, one regular endpoint and arbitrary deficiency index d, we give a construction for each type and determine the number of possible conditions of each type under the assumption that there are d linearly independent square-integrable solutions for some real value of the spectral parameter. In the separated case our construction yields non-real conditions for all orders greater than two. It is well known that no such conditions exist in the second order case. Our construction gives a direct alternative to the recent construction of Everitt and Markus which uses the theory of symplectic spaces. We believe our construction will prove useful in the spectral analysis of these operators and in obtaining canonical forms of self-adjoint boundary conditions. Such forms are known only in the second order, i.e. Sturm–Liouville, case. Even for regular problems of order four no such forms are available.

Aiping Wang

Jiong Sun

Anton Zettl

The classification of self-adjoint boundary conditions: Separated, coupled, and mixed

自伴边界条件的分类：分离型、耦合型和混合型

Philippe Charron

François Pagano

On the concentration of the Fourier coefficients for products of Laplace-Beltrami eigenfunctions on real-analytic manifolds

关于实解析流形上拉普拉斯-贝尔特拉米特征函数乘积的傅里叶系数集中现象

Seonghak Kim

Weak solutions to a hyperbolic-elliptic problem

双曲-椭圆问题的弱解

Sanghoon Lee

Some Uniformization Problems for a Fourth order Conformal Curvature

一些四阶共形曲率的均匀化问题

Lukas Koch

Matthias Ruf

Mathias Schäffner

On the Lavrentiev gap for convex, vectorial integral functionals

关于凸向量积分泛函的Lavrentiev间隙

Yinji Li

Zhiwei Wang

Xiangyu Zhou

On the Range of a class of Complex Monge-Ampère operators on compact Hermitian manifolds

关于紧 Hermitian 流形上一类复 Monge-Ampère 算子的取值范围

Abbreviation	J. Funct. Anal.
Journal Impact	1.53
Quartiles(Global)	MATHEMATICS(Q1)

ISSN	0022-1236, 1096-0783
h-index	113
Top Journals	Yes

Publication Information	Publisher: Academic Press Inc.，Publishing cycle: Semimonthly，Journal Type: journal，Open Access Journals: No
Basic data	Year of publication: 1967，Proportion of original research papers: 100.00%，Self Citation Rate:5.90%， Gold OA Rate: 30.85%
Average review cycle	网友分享经验：平均7.5个月
Average recruitment ratio	网友分享经验：容易

Journal of Functional Analysis

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