Analyticity and uniform stability of the inverse singular Sturm--Liouville spectral problem
Spectral Theory
2011-01-31 v1 Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
We prove that the potential of a Sturm--Liouville operator depends analytically and Lipschitz continuously on the spectral data (two spectra or one spectrum and the corresponding norming constants). We treat the class of operators with real-valued distributional potentials in the Sobolev class W^{s-1}_2(0,1), s\in[0,1].
Keywords
Cite
@article{arxiv.1101.5426,
title = {Analyticity and uniform stability of the inverse singular Sturm--Liouville spectral problem},
author = {Rostyslav O. Hryniv},
journal= {arXiv preprint arXiv:1101.5426},
year = {2011}
}
Comments
25 pages