Analyticity and uniform stability in the inverse spectral problem for Dirac operators

被引：11

作者：

Hryniv, Rostyslav O. ^{[1
,2
]}

机构：

[1] Inst Appl Problems Mech & Math, UA-79601 Lvov, Ukraine

[2] Univ Rzeszow, Inst Math, PL-35959 Rzeszow, Poland

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2011年 / 52卷 / 06期

关键词：

STURM-LIOUVILLE OPERATORS; IMPEDANCE; SCATTERING; POTENTIALS; THEOREMS; SYSTEM;

D O I：

10.1063/1.3600542

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that the inverse spectral mapping reconstructing the square integrable potentials of Dirac operators on [0, 1] in the AKNS form from their spectral data (two spectra or one spectrum and the corresponding norming constants) is analytic and uniformly stable in a certain sense. (C) 2011 American Institute of Physics. [doi:10.1063/1.3600542]

引用

页数：17

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