NONLINEAR INTEGRAL EQUATION OF COEFFICIENT INVERSION OF ACOUSTIC WAVE EQUATION AND ITERATION

作     者：谢干权 李建华 XIE GAN-QUAN;LI JIAN-HUA Hunan Computer Technology Institute, Changsha Department of Applied Mathematics of SUNY at Stony Brook,N.Y,11794,USA

作者机构：Hunan Computer Technology Institute Changsha Department of Applied Mathematics of SUNY at Stony BrookN.Y11794USA 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：1989年第32卷第5期

页      面：513-523页

核心收录：

学科分类：07[理学] 08[工学] 0701[理学-数学] 

主　　题：time convolution characteristic iteration coefficient inversion of wave equation inverse scattering problem of wave equation. 

摘      要：In this paper, the 1-D, 2-D and 3-D coefficient inverse problem of the acoustic waveequation is reduced to the nonlinear integral equation. In the 1-D case, the nonlinear integralequation belongs to the second kind, while in the 2-D and 3-D cases, the nonlinear integralequation is an interesting integral geometry problem. The iteration for solving the aboveintegral equation has been considered. The nonlinear integral equation and its iterationin this paper will be useful in the theoretical and numerical analysis and in application toscience and engineering of the above inversion.