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The property of being self-adjoint for higher-order elliptic operators and energetic estimates throughout Rn

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References

  1. A. G. Brusentsev and F. S. Rofe-Beketov, “Conditions for a strongly elliptic system of arbitrary order to be self-adjoint”, Mat. Sb.95, No. 1 (9), 108–129 (1974).

    MathSciNet  Google Scholar 

  2. F. S. Rofe-Beketov, “Self-adjointness of elliptic operators and estimates of energy type throughout ℝn. 1. Second order”, Teoriya Funktsii, Funktsion. Analiz i Ikh Prilozh. No. 54, 3–16 (1990).

    MATH  Google Scholar 

  3. Yu. M. Berezanskii, Expansion of Self-Adjoint Operators in Eigenfunctions [in Russian], Kiev (1965).

  4. F. V. Atkinson, “Limit-n criteria of integral type”, Proc. Roy. Soc. Edinburgh (A),73, 167–198 (1975).

    MATH  Google Scholar 

  5. A. G. Brusentsev “Self-adjointness as essential for higher-order semibounded elliptic operators”, Diff. Uravneniya,21, No. 4, 668–677 (1985).

    MATH  MathSciNet  Google Scholar 

  6. I. M. Glazman, Direct Methods for Spectral Analysis of Singular Differential Operators [in Russian], Moscow (1963).

  7. N. I. Akhiezer and I. M. Glazman, The Theory of Linear Operators in Hilbert Space. I [in Russian], Khar'kov (1977).

  8. W. N. Everitt, M. Giertz, and J. McLeod, “On the strong and weak limit-point classification of second-order differential expressions”, Proc. London Math. Soc.,29, No. 3, 142–158 (1974).

    MathSciNet  Google Scholar 

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Authors
  1. F. S. Rofe-Beketov
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Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 56, pp. 35–46, 1991.

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Rofe-Beketov, F.S. The property of being self-adjoint for higher-order elliptic operators and energetic estimates throughout Rn . J Math Sci 76, 2469–2478 (1995). https://doi.org/10.1007/BF02364904

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  • DOI: https://doi.org/10.1007/BF02364904

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