Two Methods of Solution of the Three-Dimensional Inverse Nodal Problem.
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "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.

@article{SEDP_1997-1998____A1_0,
     author = {Karpeshina, Yu E. and McLaughlin, J. R.},
     title = {Two {Methods} of {Solution} of the {Three-Dimensional} {Inverse} {Nodal} {Problem.}},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:1},
     pages = {1--9},
     publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {1997-1998},
     zbl = {1061.35527},
     mrnumber = {1660514},
     language = {en},
     url = {http://www.numdam.org/item/SEDP_1997-1998____A1_0/}
}
TY  - JOUR
AU  - Karpeshina, Yu E.
AU  - McLaughlin, J. R.
TI  - Two Methods of Solution of the Three-Dimensional Inverse Nodal Problem.
JO  - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
N1  - talk:1
PY  - 1997-1998
SP  - 1
EP  - 9
PB  - Centre de mathématiques Laurent Schwartz, École polytechnique
UR  - http://www.numdam.org/item/SEDP_1997-1998____A1_0/
LA  - en
ID  - SEDP_1997-1998____A1_0
ER  - 
%0 Journal Article
%A Karpeshina, Yu E.
%A McLaughlin, J. R.
%T Two Methods of Solution of the Three-Dimensional Inverse Nodal Problem.
%J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
%Z talk:1
%D 1997-1998
%P 1-9
%I Centre de mathématiques Laurent Schwartz, École polytechnique
%U http://www.numdam.org/item/SEDP_1997-1998____A1_0/
%G en
%F SEDP_1997-1998____A1_0
Karpeshina, Yu E.; McLaughlin, J. R. Two Methods of Solution of the Three-Dimensional Inverse Nodal Problem.. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1997-1998), Exposé no. 1, 9 p. http://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. | MR | Zbl

[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