Inverse problem for diffusion operators on the finite interval

Inverse problem for diffusion operators on the finite interval

In this paper, we discuss the inverse problem for diffusion operators on the finite interval [0,π]. For a fixed n (n=0,1,2,⋯), we show that the potential function q(x) can be uniquely determined by the spectral sets {λn(q,Hk)}k = 1+∞.

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Bibliographische Detailangaben
Hauptverfasser: Sat Murat, Panakhov, Etibar S
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Inverse problems
Operators
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Beschreibung
Zusammenfassung:In this paper, we discuss the inverse problem for diffusion operators on the finite interval [0,π]. For a fixed n (n=0,1,2,⋯), we show that the potential function q(x) can be uniquely determined by the spectral sets {λn(q,Hk)}k = 1+∞.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4904670