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

[1]

Banach, 1922, FUND MATH, V3, P133, DOI [DOI 10.4064/FM-3-1-133-181, 10.4064/fm-3-1-133-181]

[2]

FADDEEV LD, 1963, MATH ASPECTS 3 BODY, V69

[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 [J].

MOSES, HE .

PHYSICAL REVIEW, 1956, 102 (02) :559-567

[8]

Newton R.G., 1966, SCATTERING THEORY WA

[9] FORMAL SOLUTIONS OF INVERSE SCATTERING PROBLEMS [J].

PROSSER, RT .

JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (10) :1819-&

[10]

PROSSER RT, 1976, J MATH PHYS, V17, P1775, DOI 10.1063/1.522819

← 1 2 →