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Essential spectra of pseudodifferential operators in Sobolev spaces with variable smoothness and variable Lebesgue indices

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References

  1. L. Diening, P. Hästö, and A. Nekvlinda, in Proceedings of the Milovy Conference, Milovy, Czech, 2005 (Milovy, 2005), pp. 38–58.

  2. V. V. Grushin, Funkts. Anal. Ego Prilozh. 4(3), 37–50 (1970).

    Google Scholar 

  3. G. I. Eskin, Boundary Value Problems for Elliptic Pseudodifferential Operators (Am. Math. Soc., Providence, R.I., 1989).

    Google Scholar 

  4. H.-G. Leopold and E. Schrohe, Math. Nachr. 156, 7–23 (1982).

    Article  MathSciNet  Google Scholar 

  5. V. Rabinovich, S. Roch, and B. Silbermann, Limit Operators and Their Applications in Operator Theory (Birkhäuser, Basel, 2004).

    MATH  Google Scholar 

  6. M. Ruzicka, Electrorheological Fluids: Modeling and Mathematical Theory (Springer-Verlag, Berlin, 2000).

    MATH  Google Scholar 

  7. S. G. Samko, Integral Transform. Spec. Funct. 16(5/6), 461–482 (2005).

    Article  MATH  MathSciNet  Google Scholar 

  8. E. M. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality and Oscillation Integrals (Princeton Univ. Press, Princeton, N.J., 1993).

    Google Scholar 

  9. M. A. Shubin, Pseudodifferential Operators and Spectrial Theory, 2nd ed. (Springer-Verlag, Berlin, 2001).

    Google Scholar 

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Authors and Affiliations

  1. National Polytechnic Institute of Mexico, ESIME-Zacatenco, Av. IPN, Edif. 1, Mexico, D.F., 07738, Mexico

    V. S. Rabinovich

  2. Campus at Gambelas, University of Algarve, Faro, 8005, Portugal

    S. G. Samko

Authors
  1. V. S. Rabinovich
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  2. S. G. Samko
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Correspondence to V. S. Rabinovich.

Additional information

Original Russian Text © V.S. Rabinovich, S.G. Samko, 2007, published in Doklady Akademii Nauk, 2007, Vol. 417, No. 2, pp. 167–170.

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Rabinovich, V.S., Samko, S.G. Essential spectra of pseudodifferential operators in Sobolev spaces with variable smoothness and variable Lebesgue indices. Dokl. Math. 76, 835–838 (2007). https://doi.org/10.1134/S1064562407060087

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