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About One High-Order Linear Equation of Mixed Type

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References

  1. Vragov V. N., Boundary Value Problems for Nonclassical Equations of Mathematical Physics [in Russian], Novosibirsk Univ., Novosibirsk (1983).

    Google Scholar 

  2. Egorov I. E. and Fëdorov V. E., Higher-Order Nonclassical Equations of Mathematical Physics [in Russian], Vychisl. Tsentr Sibirsk. Otdel. Ros. Akad. Nauk, Novosibirsk (1995).

    Google Scholar 

  3. Grisvard P., “Equations differentielles abstraites,” Ann. Sci. Norm. Super Pisa. (4)., 2, No. 3, 311-395 (1969).

    Google Scholar 

  4. Grisvard P., “Commutativite de deux foncteurs d'interpolation et applications,” J. Math. Pures Appl. Sér. IX, 45, No. 2, 143-206 (1966).

    Google Scholar 

  5. Da Prato G. and Grisvard P., “Sommes d'opérateurs linéaires et équations differentielles opérationnelles,” Pure Math. Appl. Sér. IX, 54, No. 3, 305-387 (1975).

    Google Scholar 

  6. Dubinskii Yu. A., “On certain operator-differential equations of arbitrary order,” Mat. Sb., 90, No. 1, 1-22 (1973).

    Google Scholar 

  7. Triebel H., Interpolation Theory; Function Spaces; Differential Operators [Russian translation], Mir, Moscow (1980).

    Google Scholar 

  8. Agmon S., “On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems,” Comm. Pure Appl. Math., 15, 119-147 (1962).

    Google Scholar 

  9. Pyatkov S. G., “Interpolation of weighted Sobolev spaces,” Siberian Adv. Math., 10, No. 3–4, 83-132 (2000).

    Google Scholar 

  10. Riesz F. and SzÖkefalvi-Nagy B., Lectures on Functional Analysis [Russian translation], Mir, Moscow (1979).

    Google Scholar 

  11. Chueshev A. V., “Estimates of the resolvent for ordinary differential operators of mixed type,” Mat. Trudy (Novosibirsk), 3, No. 1, 144-196 (2000).

    Google Scholar 

  12. Krein M. G., “The theory of selfadjoint extensions of semibounded Hermitian operators and its applications. II,” Mat. Sb., 21, 365-404 (1947).

    Google Scholar 

  13. Lions J.-L. and Magenes E., Inhomogeneous Boundary Value Problems and Their Applications [Russian translation], Mir, Moscow (1971).

    Google Scholar 

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About One High-Order Linear Equation of Mixed Type. Siberian Mathematical Journal 43, 363–378 (2002). https://doi.org/10.1023/A:1014761525198

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