• Corpus ID: 118979169

Trace formulae for Schrodinger operators on metric graphs with applications to recovering matching conditions

@article{Ershova2014TraceFF,
  title={Trace formulae for Schrodinger operators on metric graphs with applications to recovering matching conditions},
  author={Yulia Yu. Ershova and Alexander V. Kiselev},
  journal={arXiv: Mathematical Physics},
  year={2014}
}
The paper is a continuation of the study started in \cite{Yorzh1}. Schrodinger operators on finite compact metric graphs are considered under the assumption that the matching conditions at the graph vertices are of $\delta$ type. Either an infinite series of trace formulae (provided that edge potentials are infinitely smooth) or a finite number of such formulae (in the cases of $L_1$ and $C^M$ edge potentials) are obtained which link together two different quantum graphs under the assumption… 

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Article history: Received 20 October 2017 Accepted 11 April 2018 Available online 3 May 2018 Communicated by K. Seip MSC: 47A10 35P05 35J25 81Q12 35J10 34L40 81Q35

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