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《Journal of Southeast University》 1991-02
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Inversion of the Coefficient of Wave Equation with Non-Zero Initial Conditions

Zheng Jiamao (Department of Mathematics and Mechanics)  
In this paper, the inverse problem of one-dimension wave equation u_(it) = (μ(x)u_x)_x is discussed. Under the non-zero initial conditions, by means of equivalent integral system we have proved the existence, uniqueness and extension theorem of the local solution for the inverse problem. The stability of the solution and the property of the solution at the end point of the largest existence interval are also researched.
【Fund】: 国家自然科学基金
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ;On the reverse problem of integral geometry in computerized tomography[J];Computerized Tomography Teory and Applications;1991-02
2 Ruan Xiaoqin ;Zhao Bing(Shen Zhen University, Shen Zhen 518060 ) (Xian Petrolem Institute,Xian 710065 );ANALYTIC INVERSION FOR INDUCTION LOGGING EQUATION[J];PROGRESS IN GEOPHYSICS;1997-02
3 JING Rongzhong,BAO Guangshu,CHEN Shaoqiu (School of InfoPhysics and Geomatics Engineering, Central South University, Changsha 410083, China);A review of the researches for geophysical combinative inversion[J];Progress In Geophysics;2003-03
4 HUANG LIAN-JIE(Institute of Geophysics, Academia Sinica, Beijing 100101)YANG WEN-CAI(Beijing Computer Center, Ministry of Geology and Mineral Resources, Beijing 100083);INVERSION OF THE ACOUSTIC WAVE EQUATION BY INVERSE SCATTERING IN A MEDIUM OF LINEAR REFERENCE VELOCITY[J];Chinese Journal of Geophysics;1991-01
5 Du JIAN-YUAN YANG WEN-CAI(Beijing Computer Center of Geology, Beijing 100083);CASCADE APPROACH FOR CROSS-HOLE SEISMIC TOMOGRAPHY[J];Chinese Journal of Geophysics;1991-06
6 LI YOU-MING (Institute of Geophysics, Chinese Academia Sinica, Beijing 100101, China) WU YONG-GANG (Dept of Exploration, Daqing Oil Administration Bureau, Daqing 163453, China);PRESENT CONDITIONS ABOUT RESERVOIR GEOPHYSICS IN CHINA AND THE THINKING IN THIS AREA[J];Chinese Journal of Geophysics;1997-S1
7 LI FEI (Department of Earth Science and Surveying Engineering, WuhanTechnical University of Surveying and Mapping, Wuhan 430070, China);SOME CRITERIA ON GRAVITY INVERSION[J];Chinese Journal of Geophysics;1998-01
8 TANG LONG-JI;LI WEN;DENG YANG-SHENG(Department of Mathematics, Penn State University, Pa 16802, USA);SOMEASPECTSFORSOLVINGILL-POSED EQUATION IN GEOPHYSICS[J];Chinese Journal of Geophysics;1995-01
9 FAN SHANG-WU (Institute of Computational Mathematics and Scientific/Engineering Computing,Academia Sinica,Beijing 100080);NUMERICAL SOLUTION METHOD FOR A CLASS OF ILL-POSED PROBLEM OF HYPERBOLIC EQUATION ABOUT STRUCTURE IMAGE(Ⅱ): PROPERLY POSEDNESS OF THE APPROXIMATE PROBLEM AND CONVERGENCE OF ITS SOLUTION[J];Chinese Journal of Geophysics;1995-S1
10 Yi Yuanyuan1,Wang Jiaying2(1.College of Geophysics and Oil Resources,Yangtze University,Jingzhou 434023,China; 2.Institute of Geophysics and Geomatics,China University of Geosciences,Wuhan 430074,China);Particle Swarm Optimization Inversion Method[J];Chinese Journal of Engineering Geophysics;2009-04
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