数学学报杂志 北大期刊 CSCD期刊 统计源期刊

Contributions of Lo Yang to Value Distribution Theory

作者：Yuan; WANG; Jian; Yong; QIAO; Jing; YANG 刊期：2019年第10期

Professor Lo Yang is a world famous mathematician of our country. He made a lot of outstanding achievements in the value distribution theory of function theory, which are highly rated and widely quoted by domestic and foreign scholars. He also did a lot of work to develop Chinese mathematics. It can be said that Prof...

Hopf Cyclicity of a Family of Generic Reversible Quadratic Systems with One Center

作者：Ji; Hua; WANG 刊期：2019年第10期

This paper is concerned with small quadratic perturbations to one parameter family of generic reversible quadratic vector fields with a simple center. The first objective is to show that this system exhibits two small amplitude limit cycles emerging from a Hopf bifurcation. The second one we prove that the system has...

Remark on Mild Solution to the 3D Incompressible Micropolar System in Fourier-Herz Framework

作者：Yao; NIE; Xiao; Xin; ZHENG 刊期：2019年第10期

This paper is devoted to investigating the existence and uniqueness of mild solution to the 3D incompressible micropolar fluid system in the Fourier–Herz framework. By taking advantage of microlocal analysis and the mutual effect in the same frequency range of convection term, we give a special initial data(u0,ω0) w...

Properties of Toeplitz Operators on the Dirichlet Space Over the Ball

作者：Yin; Yin; HU; Yu; Feng; LU; Liu; LIU 刊期：2019年第10期

On the Dirichlet space of the unit ball, we study some algebraic properties of Toeplitz operators. We give a relation between Toeplitz operators on the Dirichlet space and their analogues defined on the Hardy space. Based on this, we characterize when finite sums of products of Toeplitz operators are of finite rank. ...

Weak Solutions to the Cahn-Hilliard Equation with Degenerate Diffusion Mobility in R^N

作者：Ji; Hui; WU; Lei; LU 刊期：2019年第10期

This paper is concerned with a popular form of Cahn-Hilliard equation which plays an important role in understanding the evolution of phase separation. We get the existence and regularity of a weak solution to nonlinear parabolic, fourth order Cahn-Hilliard equation with degenerate mobility M(u)= u^m(1-u)^m which is ...

Existence Results for Superlinear Elliptic Equations with Nonlinear Boundary Value Conditions

作者：Xiao; Hui; YU 刊期：2019年第10期

In this paper, we study the existence of solutions for the following superlinear elliptic equation with nonlinear boundary value condition{-△u+u=|u|^r-2u in Ω,■u/■v=|u|^q-2u on ■Ω, where Ω■R^N, N≥3 is a bounded domain with smooth boundary. We will prove the existence results for the above equation under four di...

Discrete Littlewood-Paley-Stein Characterization and L^2 Atomic Decomposition of Local Hardy Spaces

作者：Wei; DING; Li; Xin; JIANG; Yue; Ping; ZHU 刊期：2019年第10期

Dual Lie Bialgebra Structures of W-algebra W(2,2) Type

作者：Guang; Ai; SONG; Yu; Cai; SU; Xiao; Qing; YUE 刊期：2019年第10期

In the present paper, we investigate the dual Lie coalgebras of the centerless W(2,2) algebra by studying the maximal good subspaces. Based on this, we construct the dual Lie bialgebra structures of the centerless W(2,2) Lie bialgebra. As by-products, four new infinite dimensional Lie algebras are obtained.

On the Origin and Numerical Range of Bounded Operators

作者：Xiao; Hong; WU; Jun; Jie; HUANG; ALATANCANG 刊期：2019年第10期

Numerical range has an important applications on spectrum distribution of operators. In this paper, we devoted to characterizing operators whose numerical range contains the origin. Some necessary and sufficient conditions are given by operator decomposition technique and constructive methods. Furthermore, the closen...

Fridman's Invariant,Squeezing Functions,and Exhausting Domains

作者：Fu; Sheng; DENG; Xu; Jun; ZHANG 刊期：2019年第10期

We show that if a bounded domain Ω is exhausted by a bounded strictly pseudoconvex domain D with C^2 boundary, then Ω is holomorphically equivalent to D or the unit ball, and show that a bounded domain has to be holomorphically equivalent to the unit ball if its Fridman's invariant has certain growth condition near t...