Inverse problems for Sturm—Liouville operators with potentials in Sobolev spaces: Uniform stability
نویسندگان
چکیده
منابع مشابه
Inverse Spectral Problems for Sturm-liouville Operators with Singular Potentials, Iv. Potentials in the Sobolev Space Scale
We solve the inverse spectral problems for the class of Sturm–Liouville operators with singular real-valued potentials from the Sobolev space W s−1 2 (0, 1), s ∈ [0, 1]. The potential is recovered from two spectra or from the spectrum and norming constants. Necessary and sufficient conditions on the spectral data to correspond to the potential in W s−1 2 (0, 1) are established.
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ژورنال
عنوان ژورنال: Functional Analysis and Its Applications
سال: 2010
ISSN: 0016-2663,1573-8485
DOI: 10.1007/s10688-010-0038-6