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Siberian Mathematical Journal

, Volume 20, Issue 6, pp 885–893 | Cite as

Some sufficient conditions for operators in boundary-value problems to be invertible and Noetherian

  • R. Ya. Doktorskii
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Literature Cited

  1. 1.
    A. V. Kozak, “The local principle in the theory of projectional methods,” Dokl. Akad. Nauk SSSR,212, No. 6, 1287–1289 (1973).Google Scholar
  2. 2.
    L. Shimon, “Approximation to solutions of boundary-value problems in unbounded regions,” Differents. Uravn.,9, No. 8, 1482–1492 (1973).Google Scholar
  3. 3.
    L. Shimon, “Approximation to solutions of boundary-value problems in regions with unbounded boundary,” Mat. Sb.,91, No. 4, 488–500 (1973).Google Scholar
  4. 4.
    L. Shimon, “Approximation to solutions of an elliptic equation in Rn by solutions of boundary-value problems of large radius,” Vestn Mosk. Gos. Univ., Ser. Mat. Mekh., No. 3, 12–22 (1973).Google Scholar
  5. 5.
    R. Ya. Doktorskii, “Approximation to solutions of correct problems in unbounded regions for elliptic pseudodifferential operators,” Dokl. Akad. Nauk SSSR,229, No. 6, 1303–1305 (1976).Google Scholar
  6. 6.
    R. Ya. Doktorskii, “Approximation to solutions of elliptic boundary-value problems in unbounded regions by solutions of boundary-value problems in bounded regions,” submitted to VINITI, No. 1869-76.Google Scholar
  7. 7.
    L. A. Bagirov and V. I. Feigin, “Boundary-value problems for elliptic equations in regions with unbounded boundary,” Dokl. Akad. Nauk SSSR,221, No. 1, 23–26 (1973).Google Scholar
  8. 8.
    V. I. Feigin, “Noetherianness of differential operators in Rn” Differents. Uravn.,11, No. 12, 2231–2235 (1975).Google Scholar
  9. 9.
    L. A. Bagirov, “Elliptic equations in unbounded regions,” Mat. Sb.,86, No. 1, 121–139 (1971).Google Scholar
  10. 10.
    L. A. Bagirov, “Boundary-value problems for elliptic equations in unbounded regions,” Vestn. Mosk. Gos. Univ., Ser. Mat. Mekh., No. 5, 66–72 (1969).Google Scholar
  11. 11.
    V. V. Grushin, “Pseudodifferential operators in Rn with bounded symbols,” Funkts. Anal. Prilozhen.,4, No. 3, 37–50 (1970).Google Scholar
  12. 12.
    V. V. Grushin, Pseudodifferential Operators [in Russian], MIEM, Moscow (1975).Google Scholar
  13. 13.
    H. Kumano-go, “Algebras of pseudodifferential operators” J. Fac. Sci. Univ., Tokyo,17, Nos. 1–2, 31–50 (1970).Google Scholar
  14. 14.
    G. I. Éskin, Boundary-Value Problems for Elliptic Pseudodifferential Equations [in Russian], Nauka, Moscow (1971).Google Scholar
  15. 15.
    J. L. Lions and E. Magenes, Non-Homogeneous Boundary Value Problems and Applications, Springer-Verlag (1972).Google Scholar
  16. 16.
    M. I. Vishik and G. I. Éskin, “Equations in convolutions in a bounded region,” Usp. Mat. Nauk.,20, No. 3, 89–152 (1965).Google Scholar
  17. 17.
    L. Boutet de Monvel, “Boundary problems for pseudodifferential operators,” Acta Math.,126, Nos. 1–2, 11–51 (1971).Google Scholar
  18. 18.
    M. I. Vishik and G. I. Éskin, “Singular elliptic equations and systems of variable order,” Dokl. Akad. Nauk SSSR,156, No. 2, 243–246 (1964).Google Scholar
  19. 19.
    M. I. Vishik and G. I. Éskin, “Elliptic equations in convolutions in a bounded region and their applications,” Usp. Mat. Nauk,22, No. 1, 15–76 (1967).Google Scholar
  20. 20.
    L. R. Volevich and V. M. Kagan, “Pseudodifferential hypoelliptic operators in the theory of functional spaces,” Tr. Mosk. Mat. Ob-va,20, 241–275 (1969).Google Scholar

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© Plenum Publishing Corporation 1980

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  • R. Ya. Doktorskii

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