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

被引:9
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
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]
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页数:17
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