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2009 | 116 | 5 | 765-771
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On the Inverse Problem for Quantum Graphs with One Cycle

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Abstracts
EN
Quantum graphs having one cycle are considered. It is shown that if the cycle contains at least three vertices, then the potential on the graph can be uniquely reconstructed from the corresponding Titchmarsh-Weyl function (Dirichlet-to-Neumann map) associated with graph's boundary, provided certain non-resonant conditions are satisfied.
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  • Dept. of Mathematics, LTH, Lund Univ., Box 118, 221 00 Lund, Sweden
  • Dept. of Mathematics, Stockholm Univ., 106 91, Stockholm, Sweden
  • Dept. of Physics, St. Petersburg Univ., 198904 St. Peterhof, Russia
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Document Type
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YADDA identifier
bwmeta1.element.bwnjournal-article-appv116n506kz
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