Dmitri Chelkak

most citedThe inverse Sturm-Liouville problem with mixed boundary conditions

8 citations · 9 across the 2 of their papers we have counts for

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math.SP2006★ 8 cited

The inverse Sturm-Liouville problem with mixed boundary conditions

Dmitri Chelkak, Evgeny Korotyaev

Consider the operator $H\p=-\p''+q\p=ł\p$, $\p(0)=0$, $\p'(1)+b\p(1)=0$ acting in $L^{2} (0, 1)$ , where $q \in L^{2} (0, 1)$ is a real potential. Let $ł_{n} (q, b)$ , $n \geq 0$ , be the eigenvalue…

math.SP2005★ 1 cited

Spectral estimates for Schrödinger operator with periodic matrix potentials on the real line

Dmitri Chelkak, Evgeny Korotyaev

We consider the Schrödinger operator on the real line with a $N\ts N$ matrix valued periodic potential, N>1. The spectrum of this operator is absolutely continuous and consists of…