Dirichlet-to-Neumann Mapping for the Characteristic Elliptic Equations with Symmetric Periodic Coefficients

作     者：Jingsu Kang Meirong Zhang Chunxiong Zheng 

作者机构：Department of Mathematical SciencesTsinghua UniversityBeijing 100084P.R.China. 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2014年第16卷第9期

页      面：1102-1115页

核心收录：

学科分类：07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

基　　金：The authors would like to thank Prof.Matthias Ehrhardt for the inspiring discussion on this work.C.Zheng was supported by the National Natural Science Foundation of China under Grant No.11371218 

主　　题：Dirichlet-to-Neumann mapping Schrodinger equation symmetric periodic potentials absorbing boundary conditions. 

摘      要：Based on the numerical evidences,an analytical expression of the Dirichletto-Neumann mapping in the form of infinite product was first conjectured for the onedimensional characteristic Schrodinger equation with a sinusoidal potential in[***.,3(3):641-658,2008].It was later extended for the general secondorder characteristic elliptic equations with symmetric periodic coefficients in[***.,227:6877-6894,2008].In this paper,we present a proof for this Dirichlet-toNeumann mapping.