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An elliptic boundary value problem occurring in magnetohydrodynamics

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Abstract

We derive results concerning the spectral properties of an elliptic boundary value problem arising in the mathematical theory of magnetohydrodynamics which are of basic importance for the further development of this theory.

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References

  1. Adams, R. A.: Sobolev Spaces. New York: Academic Press 1975

    MATH  Google Scholar 

  2. Agmon, S.: Lectures on Elliptic Boundary Value Problems. Princeton, N. J.: Van Nostrand 1965

    MATH  Google Scholar 

  3. Agmon, S.: On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems. Comm. Pure Apll. Math.18, 627–663 (1965)

    Article  MathSciNet  MATH  Google Scholar 

  4. Beals, R.: Asymptotic behavior of the Green's function and spectral functions of an elliptic operator. J. Funct. Anal.5, 484–503 (1970)

    Article  MathSciNet  MATH  Google Scholar 

  5. Calderon, A. P., Zygmund, A.: On singular integrals. Amer. J. Math.78, 289–309 (1956)

    Article  MathSciNet  MATH  Google Scholar 

  6. Duff, G. F. D.: Partial Differential Equations. Toronto: University of Toronto Press 1956

    Book  MATH  Google Scholar 

  7. John, F.: General properties of solutions of linear elliptic partial differential equations. in: Proc. Symposium on Spectral Theory and Differential Problems, Stillwater, Oklahoma, 1951, 113–175

  8. Kato, T.: Perturbation Theory for Linear Operators. 2nd ed., New York: Springer 1976

    MATH  Google Scholar 

  9. Lifschitz, A. E.: Magnetohydrodynamics and Spectral Theory. Boston: Kluwer 1989

    Book  MATH  Google Scholar 

  10. Mikhlin, S. G.: Linear Integral Equations. Delhi: Hindustan Publishing Corp. 1960

    MATH  Google Scholar 

  11. Miranda, C.: Sulla proprietà di regolarità di certe transformazioni integrali. Mem. Acc. Lincei7, 303–336 (1956)

    MATH  Google Scholar 

  12. Miranda, C.: Partial Differential Equations of Elliptic Type. 2nd ed., New York: Springer 1970

    Book  MATH  Google Scholar 

  13. Mizohata, S.: the Theory of Partial Differential Equations. Cambridge: University Press 1973

    MATH  Google Scholar 

  14. Titchmarsh, E. C.: Eigenfunction Expansions. Part II, Oxford: Clarendon Press 1958

    MATH  Google Scholar 

  15. Zygmund, A.: On singular integrals. Rend. di Mat.16, 468–505 (1957)

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of the Witwatersrand, WITS, Johannesburg, 2050, South Africa

    M. Faierman, R. Mennicken & M. Möller

  2. NWF I-Mathematik, Universität Regensburg, 8400, Regensburg, Germany

    M. Faierman, R. Mennicken & M. Möller

  3. Department of Mathematics, University of the Witwatersrand, WITS 2050, Johannesburg, South Africa

    M. Faierman, R. Mennicken & M. Möller

Authors
  1. M. Faierman
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  2. R. Mennicken
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  3. M. Möller
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The work of this author was supported in part by the FRD of South Africa

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Faierman, M., Mennicken, R. & Möller, M. An elliptic boundary value problem occurring in magnetohydrodynamics. Manuscripta Math 81, 387–412 (1993). https://doi.org/10.1007/BF02567866

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  • DOI: https://doi.org/10.1007/BF02567866

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