THE 3-DIMENSIONAL INVERSE SCATTERING PROBLEM FOR ACOUSTIC-WAVES

被引:23
作者
ANGELL, TS [1 ]
COLTON, D [1 ]
KIRSCH, A [1 ]
机构
[1] UNIV GOTTINGEN,LEHRSTUHL NUMBER & ANGEW MATH,D-3400 GOTTINGEN,FED REP GER
关键词
D O I
10.1016/0022-0396(82)90108-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:46 / 58
页数:13
相关论文
共 50 条
[31]   THE INVERSE SCATTERING PROBLEM FOR TIME-HARMONIC ACOUSTIC-WAVES IN AN INHOMOGENEOUS-MEDIUM WITH COMPLEX REFRACTION INDEX [J].
KEDZIERAWSKI, AW .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1993, 47 (01) :83-100
[32]   SOLUTION OF THE 3-DIMENSIONAL INVERSE PROBLEM [J].
BOZIS, G ;
NAKHLA, A .
CELESTIAL MECHANICS, 1986, 38 (04) :357-375
[33]   AN OPTIMIZATION APPROACH TO A 3-DIMENSIONAL ACOUSTIC INVERSE PROBLEM IN THE TIME-DOMAIN [J].
HE, SL ;
KABANIKHIN, SI .
JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (08) :4028-4043
[34]   SCATTERING OF ELECTROMAGNETIC-WAVES BY ELECTRON ACOUSTIC-WAVES [J].
YU, MY ;
SHUKLA, PK ;
ONG, RSB .
PLANETARY AND SPACE SCIENCE, 1987, 35 (03) :295-298
[35]   UNIQUENESS OF THE 3-DIMENSIONAL INVERSE SCATTERING PROBLEM FOR TIME-DEPENDENT POTENTIALS [J].
STEFANOV, PD .
INVERSE PROBLEMS, 1989, 5 (01) :L11-L14
[36]   REGULARIZED SOLUTIONS OF A 3-DIMENSIONAL INVERSE SCATTERING PROBLEM FOR THE WAVE-EQUATION [J].
ANG, DD ;
VY, LK .
INVERSE PROBLEMS, 1992, 8 (04) :499-507
[37]   UNIFORM STRICT CONVEXITY OF A COST FUNCTIONAL FOR 3-DIMENSIONAL INVERSE SCATTERING PROBLEM [J].
KLIBANOV, MV ;
IOUSSOUPOVA, OV .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1995, 26 (01) :147-179
[38]   ITERATIVE METHODS FOR SOLVING THE EXTERIOR DIRICHLET PROBLEM FOR THE HELMHOLTZ EQUATION WITH APPLICATIONS TO THE INVERSE SCATTERING PROBLEM FOR LOW-FREQUENCY ACOUSTIC-WAVES [J].
COLTON, D ;
KRESS, R .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 77 (01) :60-72
[39]   The approximate inverse for solving an inverse scattering problem for acoustic waves in an inhomogeneous medium [J].
Abdullah, H ;
Louis, AK .
INVERSE PROBLEMS, 1999, 15 (05) :1213-1229
[40]   3-DIMENSIONAL RECONSTRUCTIONS IN INVERSE OBSTACLE SCATTERING [J].
KRESS, R ;
ZINN, A .
LECTURE NOTES IN MATHEMATICS, 1991, 1497 :112-125