Bulletin (New Series) of the American Mathematical Society

Nonclassical eigenvalue asymptotics for operators of Schrödinger type

David Gurarie

Full-text: Open access

Article information

Source
Bull. Amer. Math. Soc. (N.S.) Volume 15, Number 2 (1986), 233-237.

Dates
First available: 4 July 2007

Permanent link to this document
http://projecteuclid.org/euclid.bams/1183553479

Mathematical Reviews number (MathSciNet)
MR854562

Zentralblatt MATH identifier
0628.35076

Subjects
Primary: 35P20: Asymptotic distribution of eigenvalues and eigenfunctions
Secondary: 35J10: Schrödinger operator [See also 35Pxx]

Citation

Gurarie, David. Nonclassical eigenvalue asymptotics for operators of Schrödinger type. Bulletin (New Series) of the American Mathematical Society 15 (1986), no. 2, 233--237. http://projecteuclid.org/euclid.bams/1183553479.


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References

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  • [Gu] D. Gurarie, Lp and spectral theory for a class of global elliptic operators, preprint.
  • [Ro] D. Robert, Comportement asymptotique des valeurs propres d'opérateurs du type Schrödinger à potentiel "dégénéré", J. Math. Pures Appl. 61 (1982), 275-300.
  • [Ros] G. V. Rosenblum, Distribution of eigenvalues of singular differential operators, Izv. Vyssh. Uchebn. Zaved. 1 (1976), 75-86. (Russian)
  • [Si] B. Simon, Nonclassical eigenvalue asymptotics, J. Funct. Anal. 53 (1983), 84-98.
  • [So] M. Z. Solomyak, Spectral asymptotics of Schrödinger operators with non-regular homogeneous potential, Mat. Sb. 127 (1985), 21-39. (Russian)