DIRICHLET PROBLEMS FOR STATIONARY VON NEUMANN-LANDAU WAVE EQUATIONS  

作　　者：陈泽乾 

机构地区：[1]Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences

出　　处：《Acta Mathematica Scientia》2009年第5期1225-1232,共8页数学物理学报（B辑英文版）

基　　金：Supported partially by the National Natural Science Foundation of China(10775175)

摘　　要：In this article, we are concerned with the Dirichlet problem of the stationary von Neumann-Landau wave equation：{（-△x＋△y）φ（x,y）=0,x,y∈Ωφ｜δΩxδΩ=fwhere Ω is a bounded domain in R^n. By introducing anti-inner product spaces, we show the existence and uniqueness of the generalized solution for the above Dirichlet problem by functional-analytic methods.In this article, we are concerned with the Dirichlet problem of the stationary von Neumann-Landau wave equation：{（-△x＋△y）φ（x,y）=0,x,y∈Ωφ｜δΩxδΩ=fwhere Ω is a bounded domain in R^n. By introducing anti-inner product spaces, we show the existence and uniqueness of the generalized solution for the above Dirichlet problem by functional-analytic methods.

关 键 词：von Neumann-Landau equation wave functions Dirichlet problem 

分 类 号：O175[理学—数学]