Two Methods of Solution of the Three-Dimensional Inverse Nodal Problem.
Séminaire Goulaouic-Schwartz (1997-1998), Exposé no. 1, 9 p.

The operator -Δ+q with the Dirichlet boundary condition is considered in a parallelepiped. The problem of restoring q(x) from positions of nodal surfaces is solved.

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     title = {Two {Methods} of {Solution} of the {Three-Dimensional} {Inverse} {Nodal} {Problem.}},
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Karpeshina, Yu E.; McLaughlin, J. R. Two Methods of Solution of the Three-Dimensional Inverse Nodal Problem.. Séminaire Goulaouic-Schwartz (1997-1998), Exposé no. 1, 9 p.. https://www.numdam.org/item/SEDP_1997-1998____A1_0/

[HM] O.H. Hald, J.R. McLaughlin Inverse Nodal problems: Finding the Potential from Nodal lines. Memoirs of the AMS, 119, # 572, 1997, 148 pp. | Zbl | MR

[K] Yu. E. Karpeshina Perturbation theory for the Schrödinger operator with a periodic potential, in series “Lecture Notes in Mathematics", # 1663, Springer-Verlag, 1997, 352 pp. | Zbl