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An interior inverse problem for the Sturm–Liouville operator with discontinuous conditions

✍ Scribed by Chuan-Fu Yang; Xiao-Ping Yang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
355 KB
Volume
22
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this work, we study the inverse problem for the Sturm-Liouville operator -D 2 + q with discontinuity boundary conditions inside a finite closed interval. Using spectral data of a kind, it is shown that the potential function q(x) can be uniquely determined by a set of values of eigenfunctions at some internal point and one spectrum.

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