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On the spectra of singular elliptic operators

Part of: Spectral theory and eigenvalue problems

Published online by Cambridge University Press:  26 February 2010

Martin Schechter
Martin Schechter
Affiliation:
Yeshiva University, New York, N.Y., U.S.A.
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Abstract

We give sufficient conditions for the spectra and essential spectra of certain classes of operators to be contained in or coincide with an interval of the form [μ, ∞).

MSC classification

Secondary: 35P15: Estimation of eigenvalues, upper and lower bounds
Type
Research Article
Information
Mathematika , Volume 23 , Issue 1 , June 1976 , pp. 107 - 115
Copyright
Copyright © University College London 1976

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References

1.Glazman, I. M.. Direct Methods of Qualitative Spectral Analysis of Singular Differential Operators, Israel Program of Scientific Translations (Jerusalem, 1965).Google Scholar
2.Naimark, M. A.. Linear Differential Operators, Part II (Frederich Ungar, New York, 1968).Google Scholar
3.Birman, M. S.. “The spectrum of singular boundary problems”, Mat. Sb., 55 (1961), 125–174.Google Scholar
4.Miiller-Pfeiffer, E.. Spektraleigen-schaften eindimensionaler Differential-operatoren höherer Ordnung”, Studio Math., 34 (1970), 183–196.Google Scholar
5.Miiller-Pfeiffer, E.. “Eine Bemerkung über das Spektrum des Schrödinger-Operators”, Math. Nach., 58 (1973), 299–303.CrossRefGoogle Scholar
6.Schechter, Martin. Spectra of Partial Differential Operators (North Holland, Amsterdam, 1971).Google Scholar
7.Yafaev, D. R.. “On the spectrum of the perturbed polyharmonic operator”, Topics in Math. Phys., Vol. 5, Edited by Birman, M. S. (Plenum Press, New York, 1972, 107–112).Google Scholar
8.Troesch, B. A.. “Integral inequalities for two functions”, Arch. Rat. Mech. Anal., 24 (1967), 128–140.CrossRefGoogle Scholar
9.Mitrinović, D. S.. Analytic Inequalities (Springer, 1970).Google Scholar