数学研究通讯

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数学研究通讯 关注(): 期刊周期：季刊; 期刊级别：省级; 国内统一刊号：22-1396/O1; 国际标准刊号：1674-5647; 主办单位：吉林大学; 主管单位：教育部; 上一本期杂志：《班主任之友》教育学期刊论文; 下一本期杂志：《天府数学》数学教育期刊

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　　【杂志简介】

　　在1996年元月召开的国务院学位评定委员会上，经数学学科委员会无记名投票，《东北数学》被评为全国18种重要数学期刊之一。在这18种期刊中，《数学研究通讯》是惟一的由一所大学主办的期刊。《数学研究通讯》在国内数学界已占有了重要的位置，为我国的数学学科的建设和发展作出了一定的贡献。

　　【办刊宗旨】

　　本刊坚持普及与提高相结合，以提高为主的办刊方针。办刊宗旨是报道数学研究成果，传播数学研究技术，促进数学研究科技交流，推动数学研究科技进步。本刊主要刊登国内外数学方面的科研论文，努力将其办成能够展示纯数学科研领域的最新研究成果和动态，并指导其进一步的研究方向。现已被国务院学位评定委员会指定为18种重要数学期刊之一。

　　【收录情况】

　　国家新闻出版总署收录　都被美国《数学评论》、德国《数学文摘》及俄罗斯《文摘杂志》评摘。

　　2003年年初检索统计结果表明，我国进入Zentralblatt MATH系统的150多种入选期刊中(含港、澳、台地区)，《数学研究通讯》(Northeast. Math. J.)名列第十。

　　【栏目设置】

　　现设有“研究快讯”专栏和“一般论文”专栏。

　　数学研究通讯最新期刊目录

Spectral Properties of an Energy-Dependent Hamiltonian

摘要：We study spectral properties of a quantum Hamiltonian with a complex-valued energy-dependent potential related to a model introduced in physics of nuclear reactions [30] and we prove that the principl...

Communications in Mathematical Research

摘要：<正>Aims and Scope:Communications in Mathematical Research (CMR) was established in1985 by Jilin University,with the title Northeastern Mathematical Journal.Recently the journal was renamed to th...

A Level Set Representation Method for N-Dimensional Convex Shape and Applications

摘要：In this work, we present a new method for convex shape representation, which is regardless of the dimension of the concerned objects, using level-set approaches. To the best of our knowledge, the prop...

Weighted and Maximally Hypoelliptic Estimates for the Fokker-Planck Operator with Electromagnetic Fields

摘要：We consider a Fokker-Planck operator with electric potential and electromagnetic fields. We establish the sharp weighted and subelliptic estimates, involving the control of the derivatives of electric...

On the J.L. Lions Lemma and Its Applications to the Maxwell-Stokes Type Problem and the Korn Inequality

摘要：In this paper, we consider the equivalent conditions with L^p-version（1 < p < ∞） of the J.L. Lions lemma. As applications, we first derive the existence of a weak solution to the Maxwe...

The Reflexive Selfadjoint Solutions to Some Operator Equations

摘要：In this paper, we study the existence of the reflexive, reflexive selfadjoint and reflexive positive solutions to some operator equations with respect to the generalized reflection operator dual(P, Q)...

Communications in Mathematical Research

摘要：<正>Aims and Scope:Communications in Mathematical Research (CMR) was established in 1985 by Jilin University, with the title Northeastern Mathematical Journal.Recently the journal was renamed to ...

Concentration Inequalities for Statistical Inference

摘要：This paper gives a review of concentration inequalities which are widely employed in non-asymptotical analyses of mathematical statistics in a wide range of settings, from distribution-free to distrib...

The Core-EP, Weighted Core-EP Inverse of Matrices and Constrained Systems of Linear Equations

摘要：We study the constrained system of linear equations Ax = b, x∈ R （A^k） for A∈C^n×n and b∈Cⁿ, k = Ind（A）. When the system is consistent, it is well known that it has a un...

Gradient Flow of the L_β-Functional

摘要：In this paper, we start to study the gradient flow of the functional L_β introduced by Han-Li-Sun in [8]. As a first step, we show that if the initial surface is symplectic in a K?hler surfa...

Global Well-Posedness for the 2-D MHD Equations with Magnetic Diffusion

摘要：In this paper, we consider the 2-D MHD equations with magnetic resistivity but without dissipation on the torus. We prove that if the initial data is small in H⁴（T₂）, then the 2-...

Research on Ruin Probability of Risk Model Based on AR(1) Time Series

摘要：The insurance industry typically exploits ruin theory on collected data to gain more profits. However, state-of-art approaches fail to consider the dependency of the intensity of claim numbers, result...

Approximate Controllability of the System Governed by Double Coupled Semilinear Degenerate Parabolic Equations

摘要：This paper concerns the approximate controllability of the initialboundary problem of double coupled semilinear degenerate parabolic equations. The equations are degenerate at the boundary, and the co...

On Two Problems About Isogenies of Elliptic Curves Over Finite Fields

摘要：Isogenies occur throughout the theory of elliptic curves. Recently,the cryptographic protocols based on isogenies are considered as candidates of quantum-resistant cryptographic protocols. Given two e...

Bounding Topology via Geometry, A-Simple Fundamental Groups

摘要：We call a group A-simple, if it has no non-trivial normal abelian subgroup. We will present finiteness results in controlled topology via geometry on manifolds whose fundamental groups are A-simple

Existence and Nonlinear Stability of Stationary Solutions to the Viscous Two-Phase Flow Model in a Half Line

摘要：The outflow problem for the viscous two-phase flow model in a half line is investigated in the present paper. The existence and uniqueness of the stationary solution is shown for both supersonic state...

M-Eigenvalues of the Riemann Curvature Tensor of Conformally Flat Manifolds

摘要：We investigate the M-eigenvalues of the Riemann curvature tensor in the higher dimensional conformally flat manifold. The expressions of Meigenvalues and M-eigenvectors are presented in this paper. As...

Moving-Water Equilibria Preserving HLL-Type Schemes for the Shallow Water Equations

摘要：We construct new HLL-type moving-water equilibria preserving upwind schemes for the one-dimensional Saint-Venant system of shallow water equations with nonflat bottom topography. The designed first-an...

Communications in Mathematical Research

A Comparison Study of Deep Galerkin Method and Deep Ritz Method for Elliptic Problems with Different Boundary Conditions

摘要：Recent years have witnessed growing interests in solving partial differential equations by deep neural networks, especially in the high-dimensional case. Unlike classical numerical methods, such as fi...

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