POTENTIAL INVERSION PROBLEMS FOR COUPLED SYSTEM OF DOWNGOING AND UPCOMING ONE-WAY WAVE EQUATIONS

作     者：Zhang, GQ Dou, XL 

作者机构：Chinese Acad Sci ICMSEC State Key Lab Sci & Engn Comp Beijing 100080 Peoples R China Beijing Res Inst Remote Sensing Informat Beijing 100011 Peoples R China 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：1998年第16卷第6期

页      面：551-560页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：国家攀登计划项目 

主　　题：2-D potential inversion wave splitting singularity analysis 

摘      要：By using wave splitting method the formulation of the two-dimensional potential inversion problem is set up in terms of the coupled system for downgoing and upcoming wavefields. The boundary counditions on the characteristic surface needed for solving the problem are derived by singularity analysis. Two stability theorems are given for the direct problems of the system treated as Cauchy problems in the direction of depth.