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Ukrainian Mathematical Journal

, Volume 23, Issue 6, pp 630–634 | Cite as

Green's function of the general elliptic boundary problem with pseudodifferential boundary conditions

  • I. A. Kovalenko
  • Ya. A. Roitberg
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Keywords

Boundary Condition Boundary Problem Elliptic Boundary Elliptic Boundary Problem General Elliptic Boundary 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

  1. 1.
    Yu. M. Berezanskii and Ya. A. Roitberg, “Homeomorphism theorems and Green's functions for general elliptical boundary problems,” Ukr, Matem. Zh.,19, No. 5 (1967).Google Scholar
  2. 2.
    Yu. P. Krasovskii, “Elimination of singularities from Green's functions,” Izv. AN SSSR, Ser. Matem.,31, No. 5 (1967).Google Scholar
  3. 3.
    H. Triebel, “Properties of Green's functions of nonself-adjoint general elliptical operators,” Studia Math.,30, No. 3 (1968).Google Scholar
  4. 4.
    P. Zuckerman, “Inequalities for derivatives of Green's functions of general coercive elliptical boundary value problems,” Doct. Diss., New York Univ. (1968); Dissert. Abstracts,29, No. 11 (1968).Google Scholar
  5. 5.
    V. A. Solonnikov, “Green's matrices for elliptical boundary problems,” Tr. Moskovsk. Matem. Ob-va,110 (1970).Google Scholar
  6. 6.
    Ya. A. Roitberg, “Homeomorphism theorems for elliptical boundary problems with nonnormal boundary conditions,” DAN SSSR,191, No. 6 (1970).Google Scholar
  7. 7.
    Ya. A. Roitberg, “Homeomorphism theorems and Green's formula for general elliptical boundary problems with nonnormal boundary conditions,” Matem. Sb.,83 (125): 2(10) (1970).Google Scholar
  8. 8.
    M. Schechter, “On Lp estimates and regularity, I, II,” Amer. J. Math.,85, No. 1 (1963).Google Scholar
  9. 9.
    Ya. A. Roitberg, “Elliptical problems with nonhomogeneous boundary conditions and local increase of smoothness up to the boundary of generalized solution,” DAN SSSR,157, No. 4 (1964).Google Scholar
  10. 10.
    Ya. A. Roitberg, “Homeomorphism theorems realized in Lp by elliptical operators and local increase in smoothness of generalized solutions,” Ukr. Matem. Zh.,17, No. 5 (1966).Google Scholar
  11. 11.
    Yu. M. Berezenskii, Expansion in Characteristic Functions of Self-Adjoint Operators [in Russian], Naukova Dumka, Kiev (1965).Google Scholar
  12. 12.
    Ya. A. Roitberg, “Boundary problems of generalized solutions of elliptical equations,” DAN SSSR,188, No. 1 (1969).Google Scholar
  13. 13.
    Ya. A. Roitberg, “Green's formula and homeomorphism theorems for general elliptical boundary problems with nonnormal boundary conditions,” Ukr. Matem. Zh.,21, No. 3 (1969).Google Scholar
  14. 14.
    M. S. Agranovich, “Elliptical singular integro-differential operators,” Usp. Matem. Nauk,20, No. 5 (125) (1965).Google Scholar
  15. 15.
    L. Hormander, Linear Partial Differential Operators [Russian translation], Mir, Moscow (1965).Google Scholar
  16. 16.
    L. Hormander, in: Pseudodifferential Operators [Russian translation], Mir, Moscow (1967).Google Scholar

Copyright information

© Consultants Bureau 1972

Authors and Affiliations

  • I. A. Kovalenko
  • Ya. A. Roitberg

There are no affiliations available

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