Global Weak Solutions of Initial Boundary Value Problem for Boltzmann－Poisson System with Absorbing Boundary

This paper deals with the initial boundary value problem for the Boltzmann-Poisson system, which arises in semiconductor physics, with absorbing boundary. The global existence of weak solutions is proved by using the stability of velocity averages and the compactness results on L1-theory under weaker conditons on initial boundary values.     

位圆上的Hankel和Toeplitz型算子

令D是复平面上的单位圆, 为其加权的测度, 则 为正交直和分解. 定义了一类Hankel和Toeplitz型的算子, 研究了它们的有界性、紧性和Sp准则.     

Cn中球型带权Bergman空间上Toeplitz与Hankel算子之紧性

本文给出Cⁿ中单位球上的带权的Bergman空间上具L^∞-符号的Toeplitz算子或Hankel算子为紧的充要条件。     

Banach空间非线性脉冲Volterra型积分方程和积分-微分方程的可解性

本文在较宽松的条件下,研究了Banach空间非线性脉冲Volterra型积分方 程和脉冲积分一微分方程解的存在性,建立了新的存在性定理,本质上改进了某些已 知的结果.     

BISINGULAR MAPS ON SOME SURFACES

A map is bisingular if each edge is either a loop (This paper only considersplanar loop) or an isthmus (i.e., on the boundary of the same face). This paper studies thenumber of rooted bisingular maps on the sphere and the torus, and also presents formulaefor such maps with three parameters: the root-valency, the number of isthmus, and thenumber of planar loops.     

LF拓扑空间的S_i-(i=-1,0,1,2)分离性

给出 LF拓扑空间的 S- i ( i=-1 ,0 ,1 ,2 )分离性的定义 ,并讨论它们之间的联系及其性质 .     

Bergman空间上复合算子的紧性刻划

研究了C^n中有界强拟凸Ω上Bergman空间A^p(Ω)上的复合算子的有界性、紧性，给出了复合算子Cψ：A^p(Ω)→A^p(Ω)紧性的一个完整刻划。     

关于一个混沌但非S-S混沌的子转移的一点注记

In this paper we prove that the minimal chaotic but not S-S chaotic subshifts are also uinquely ergodic and have zero topological entropy.     

正规弱空间的无限Tychonoff积

本文证明(1)如果X=∏σ∈∑Xσ是|Σ|-仿紧空间,则X是正规弱(-θ)-可加空间当且仅当 F∈[∑]＜ω,∏σ∈FXσ是正规弱(-θ)-可加空间.(2)设X=∏i∈ωXi是可数仿紧的,则下列三条等价X是正规弱(-θ)-可加的; F∈[ω]＜ω,∏i∈FXi是正规弱(-θ)-可加的; n∈ω,∏i≤nXi是正规弱(-θ)-可加的.