A partial inverse problem for the Sturm-Liouville operator on the graph with a loop

2017/11/15 by Yang, Chuan-Fu, Bondarenko, Natalia P.
#34A55 #34B05 #34B09 #34B45 #34L20 #34L40 #47E05 #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1711.05660

Abstract

The Sturm-Liouville operator with singular potentials on the lasso graph is considered. We suppose that the potential is known a priori on the boundary edge, and recover the potential on the loop from a part of the spectrum and some additional data. We prove the uniqueness theorem and provide a constructive algorithm for the solution of this partial inverse problem.

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