UNIQUENESS OF THE SOLUTION TO INVERSE SCATTERING PROBLEM WITH BACKSCATTERING DATA

被引：0

作者：

Ramm, A. G. ^{[1
]}

机构：

[1] Kansas State Univ, Dept Math, Manhattan, KS 66506 USA

来源：

EURASIAN MATHEMATICAL JOURNAL | 2010年 / 1卷 / 03期

关键词：

inverse scattering; non-overdetermined data; backscattering;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let q(x) be real-valued compactly supported sufficiently smooth function. It is proved that the scattering data A(-beta,beta,k) for all beta is an element of S-2, for all k > 0, determine q uniquely.

引用

页码：97 / 111

页数：15

共 50 条

[1] UNIQUENESS OF A SOLUTION OF AN INVERSE SCATTERING PROBLEM
STEPANOV, VN
[J]. DIFFERENTIAL EQUATIONS, 1982, 18 (04) : 482 - 487
[2] Uniqueness of the solution to inverse obstacle scattering problem
Ramm, AG
[J]. PHYSICS LETTERS A, 2005, 347 (4-6) : 157 - 159
[3] Uniqueness of the solution to inverse scattering problem with scattering data at a fixed direction of the incident wave
Ramm, A. G.
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (12)
[4] Uniqueness for a linearized, inverse obstacle problem using backscattering data
Hähner, P
Kress, R
[J]. FIFTH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND NUMERICAL ASPECTS OF WAVE PROPAGATION, 2000, : 489 - 493
[5] A UNIQUENESS RESULT FOR THE INVERSE BACKSCATTERING PROBLEM
STEFANOV, PD
[J]. INVERSE PROBLEMS, 1990, 6 (06) : 1055 - 1064
[6] Uniqueness and stability of the solution to an inverse acoustic scattering problem
Burov, VA
Rumyantseva, OD
[J]. ACOUSTICAL PHYSICS, 2003, 49 (05) : 496 - 507
[7] Uniqueness and stability of the solution to an inverse acoustic scattering problem
V. A. Burov
O. D. Rumyantseva
[J]. Acoustical Physics, 2003, 49 : 496 - 507
[8] CONCERNING UNIQUENESS OF SOLUTION OF AN EQUATION OF INTEREST IN INVERSE SCATTERING PROBLEM
COX, JR
THOMPSON, KW
[J]. BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1970, 15 (02): : 181 - +
[9] NOTE ON UNIQUENESS OF SOLUTION OF AN EQUATION OF INTEREST IN INVERSE SCATTERING PROBLEM
COX, JR
THOMPSON, KW
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1970, 11 (03) : 815 - &
[10] THE UNIQUENESS OF A SOLUTION TO AN INVERSE SCATTERING PROBLEM FOR ELECTROMAGNETIC-WAVES
COLTON, D
PAIVARINTA, L
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1992, 119 (01) : 59 - 70

← 1 2 3 4 5 →