FORMAL SOLUTIONS OF INVERSE SCATTERING PROBLEMS .3.

被引：61

作者：

PROSSER, RT

机构：

[1] Department of Mathematics, Dartmouth College, Hanover

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1980年 / 21卷 / 11期

关键词：

D O I：

10.1063/1.524379

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The formal solutions of certain three-dimensional inverse scattering problems presented in papers I and II of this series [J. Math. Phys. 10, 1819 (1969); 17 1175 (1976)] are obtained here as fixed points of a certain nonlinear mapping acting on a suitable Banach space of integral kernels. When the scattering data are sufficiently restricted, this mapping is shown to be a contraction, thereby establishing the existence, uniqueness, and continuous dependence on the data of these formal solutions. © 1980 American Institute of Physics.

引用

页码：2648 / 2653

页数：6

共 11 条

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[3] Friedrichs K., 1965, PERTURBATIONS SPECTR
[4] JOST R, 1952, PHYS REV, V87, P979
[5] Kantorovich LV., 1948, USP MAT NAUK, V3, P89
[6] KUPRADSE WD, 1956, RANDWERTAUFGABEN SCH
[7] CALCULATION OF THE SCATTERING POTENTIAL FROM REFLECTION COEFFICIENTS
MOSES, HE
[J]. PHYSICAL REVIEW, 1956, 102 (02): : 559 - 567
[8] Newton R.G., 1966, SCATTERING THEORY WA
[9] FORMAL SOLUTIONS OF INVERSE SCATTERING PROBLEMS
PROSSER, RT
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (10) : 1819 - &
[10] PROSSER RT, 1976, J MATH PHYS, V17, P1775, DOI 10.1063/1.522819

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