an:05202836
Zbl 1125.35068
Helffer, B.; Hoffmann-Ostenhof, T.
Converse spectral problems for nodal domains
EN
Mosc. Math. J. 7, No. 1, 67-84 (2007).
00195001
2007
j
35P05 35B05 35J10
Schr??dinger operator; nodal domain; spectral theory
From the abstract: ``We consider two-dimensional Schr??dinger operators in bounded domains. Abstractions of nodal sets are introduced and spectral conditions for them ensuring that they are actually zero sets of eigenfunctions are given. This is illustrated by an application to optimal partitions.''
Yakov Yakubov (Tel-Aviv)