DIRICHLET PROBLEMS FOR STATIONARY VON NEUMANN-LANDAU WAVE EQUATIONS

作     者：陈泽乾 Chen Zeqian Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences P.O.Box 71010, 30 West District, Xiao-Hong Mountain, Wuhan 430071, China

作者机构：Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2009年第29卷第5期

页      面：1225-1232页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 

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

主　　题：von Neumann-Landau equation wave functions Dirichlet problem 

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∈Ω φ｜δΩxδΩ=f where 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.