14 citations · 50 across the 9 of their papers we have counts for
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A Borg-Levinson theorem for higher order elliptic operators
Katsiaryna Krupchyk, Lassi Päivärinta
We establish the Borg-Levinson theorem for elliptic operators of higher order with constant coefficients. The case of incomplete spectral data is also considered.
The interior transmission problem and bounds on transmission eigenvalues
Michael Hitrik, Katsiaryna Krupchyk, Petri Ola +1
We study the interior transmission eigenvalue problem for sign-definite multiplicative perturbations of the Laplacian in a bounded domain. We show that all but finitely many comple…
Transmission eigenvalues for elliptic operators
Michael Hitrik, Katsiaryna Krupchyk, Petri Ola +1
A reduction of the transmission eigenvalue problem for multiplicative sign-definite perturbations of elliptic operators with constant coefficients to an eigenvalue problem for a no…
Transmission eigenvalues for operators with constant coefficients
Michael Hitrik, Katsiaryna Krupchyk, Petri Ola +1
In this paper we study the interior transmission problem and transmission eigenvalues for multiplicative perturbations of linear partial differential operator of order with…