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《Chinese Journal of Geophysics》 1982-04
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ON THE CONTINUOUS DEPENDENCE OF THE SOLUTIONS FOR SEVERAL IMPROPERLY POSED PROBLEMS IN GEOPHYSICS

LUAN WEN-GUI (Computing Center, Academia Sinica)  
This paper discusses three kinds of typical improperly posed problems in interpretation of geophysical informations, i.e., Cauchy's problem for Laplace's equation, time-directional Cauehy's problem for wave equation and Cauehy's problem for the equation of heat conduction. The main contents are presented as follows:1. We state succinctly the questions in relation to three kinds of typical improperly posed problems and pay spacial attention to several points when solving these problems.2. We establish a new formulation of definite problem more close to physical practice and give an estimate of the continuous dependence of its solutions.3. We give the estimates of Holder continuous dependence of the solutions for three kinds of typical improperly posed problems.
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【References】
Chinese Journal Full-text Database 4 Hits
1 LUAN WEN-GUI(Computing Center, Academia Sinica, Beijing);INVERSE PROBLEMS AND ILL-POSED PROBLEMS IN GEOPHYSICS[J];Chinese Journal of Geophysics;1988-01
2 LUAN WEN-GUI(Computing Center, Acadcmla Sinica, Beijing);THE CONTINUATION OF ELECTROMAGNETIC FIELDS IN A CLASS OF NON-HOMOGENEOUS MEDIUM[J];Chinese Journal of Geophysics;1988-06
3 LUAN WENGUI Computing Center, Academia Sinica, Beijing;THE CONTINUATION OF ELECTROMAGNETIC FIELDS[J];中国科学A辑(英文版);1984-05
4 LUAN WENGUI(Computing Center, Academia Sinica, Beijing);THE CONTINUATIONSOF POTENTIAL,ELECTROMAGNETIC AND WAVE FIELDS[J];中国科学A辑(英文版);1986-02
【Co-references】
Chinese Journal Full-text Database 2 Hits
1 LUAN WEN-GUI(Computing Center, Academia Sinica);THE STABILIZED ALGORITHM OF THE ANALYTIC CONTINUATION FOR THE POTENTIAL FIELD[J];Chinese Journal of Geophysics;1983-03
2 LUAN WEN-GUIComputing Center, Academia Sinica, Beijing;SOME NEW APPROACHS FOR INVERSION PROBLEMS OF EARTH STRUCTURE[J];Chinese Journal of Geophysics;1986-04
【Secondary References】
Chinese Journal Full-text Database 5 Hits
1 Guo Qingzhong.;Inversion of Radial Conductivity Distribution by Array Induction Logs.[J];Well Logging Technology;2003-03
2 Hu Wenbao ( Computing Centre, Jianghan Petroleum Institute ) Chen Suyang Deng Xiaolin ( J iangsu Petroleum Exploration Bureau );ANALYTICAL CONTINUATION OF MAGNETOTELLURIC FIELD——METHODS AND APPLICATIONS[J];;1990-S1
3 LUAN WEN-GUI(Computing Center, Academia Sinica, Beijing);INVERSE PROBLEMS AND ILL-POSED PROBLEMS IN GEOPHYSICS[J];Chinese Journal of Geophysics;1988-01
4 LUAN WEN-GUI(Computing Center, Acadcmla Sinica, Beijing);THE CONTINUATION OF ELECTROMAGNETIC FIELDS IN A CLASS OF NON-HOMOGENEOUS MEDIUM[J];Chinese Journal of Geophysics;1988-06
5 LI PING HSU HOU-TZE Institute of Geodesy and Geophysics,CAS, Wuhan 430077, China Seismological Bureau of Liaoning Provinec,Shenyang 110031, China;ROBUST ESTIMATION PLUS PSEUDO-INVERSE METHOD IN GEOPHYSICAL INVERSION[J];Chinese Journal of Geophysics;2000-02
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