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Moscow Mathematical Journal, 2007, Volume 7, Number 1, Pages 67–84
DOI: https://doi.org/10.17323/1609-4514-2007-7-1-67-84 (Mi mmj271) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Converse spectral problems for nodal domains

B. Helffera, T. Hoffmann-Ostenhofb

a Paris-Sud University 11
b International Erwin Schrödinger Institute for Mathematical Physics
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DOI: https://doi.org/10.17323/1609-4514-2007-7-1-67-84
Abstract: We consider two-dimensional Schrödinger 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.
Key words and phrases: Schödinger operator, Nodal domain, Spectral theory.
Received: April 19, 2006
Bibliographic databases:
MSC: 35B05
Language: English
Citation: B. Helffer, T. Hoffmann-Ostenhof, “Converse spectral problems for nodal domains”, Mosc. Math. J., 7:1 (2007), 67–84
Citation in format AMSBIB
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\by B.~Helffer, T.~Hoffmann-Ostenhof
\paper Converse spectral problems for nodal domains
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\yr 2007
\vol 7
\issue 1
\pages 67--84
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