Skip to main content
SpringerLink
Log in

Espaces biharmoniques

  • Deuxieme Partie
  • Conference paper
  • First Online:
Théorie du Potentiel

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1096))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliographie

  1. H. BAUER.-Harmonische Räume und ihre potentialtheorie; Lecture Notes in Math. 22, Berlin-Heidelberg-New York: Springer 1966.

    MATH  Google Scholar 

  2. N. BOBOC; P. MUSTATA.-Considerations axiomatiques sur les fonctions poly-surharmoniques. Rev. Roum. Math. Pures et Appl. Tome XVI, no. 8, p. 1167–1184, 1971.

    MathSciNet  MATH  Google Scholar 

  3. N. BOBOC; Ch. BUCUR.-Perturbations in excessive structures. Preprint Series in Math. no. 68/1981, Bucharest, Romania.

    Google Scholar 

  4. N. BOULEAU.-Espaces biharmoniques et couplage de processus de Markov. J. Math. Pures et Appl. 58, 1979, p. 187–240.

    MathSciNet  MATH  Google Scholar 

  5. N. BOULEAU.-Théorie du potentiel associée à certains systèmes différentiels. Math. Ann. 255, 335–350 (1981).

    Article  MathSciNet  MATH  Google Scholar 

  6. A. BOUKRICHA.-Stabilité des propriétés de convergence par perturbation des espaces harmoniques. A paraître.

    Google Scholar 

  7. A. BOUKRICHA.-Caractérisation des perturbations des espaces harmoniques possédants une fonction de Green. Séminaire d'Analyse Harmonique de Tunis, 5ème année, 1978/79.

    Google Scholar 

  8. A. BOUKRICHA; W. HANSEN.-Characterisation of perturbation of harmonic spaces. In: Lecture Notes in Math. Vo. 787, Berlin-Heidelberg-New York: Springer 1979.

    Google Scholar 

  9. A. BOUKRICHA; M. SIEVEKING.-What kind of equations do reacting and diffusing systems solve? A paraître.

    Google Scholar 

  10. M. BRELOT.-Axiomatique des fonctions harmoniques, les presses de l'Université de Montreal (1966).

    Google Scholar 

  11. M. BRELOT.-On topology and boundaries in potential theory. Lecture Notes in Math. 175, Berlin-Heidelberg-New York: Springer 1971.

    Book  MATH  Google Scholar 

  12. C. CONSTANTINESCU. A. CORNEA.-Potential theory on Harmonic Spaces. Berlin-Heidelberg-New York: Springer 1972.

    Book  MATH  Google Scholar 

  13. R.M. DUBOIS.-Problème de Dirichlet pour certains systèmes couplés au premier ordre. Math. Ann., 262, 91–99 (1983).

    Article  MathSciNet  MATH  Google Scholar 

  14. A. FRIEDMANN.-Partial differential equations of parabolic. Type, Prentice-Hall INC 1964.

    Google Scholar 

  15. S. GUBER.-On the potential theory of linear homogenous parabolic partial differential equations of second order; In: Symposium on probability Methods in Analysis (Loutraki 1966). Lectures Notes in Math. 31. Berlin-Heidelberg-New York: Springer 1967.

    Google Scholar 

  16. W. HANSEN.-Potentialtheorie harmonischer Kerne. In: Seminar über Potentialtheorie, 103–159, Lecture Notes in Math. 69, Berlin-Heidelberg-New York: Springer 1968.

    Chapter  Google Scholar 

  17. W. HANSEN.-Cohomology in Harmonic Spaces. In: Seminar on potential théory II, 63–101. Lectures Notes in Math. 226, Berlin-Heidelberg-New York: Springer 1971.

    Chapter  Google Scholar 

  18. W. HANSEN.-Perturbation of Harmonic Spaces and Construction of Semigroups. Invent. math. 19, 149–164 (1973).

    Article  MathSciNet  MATH  Google Scholar 

  19. W. HANSEN.-Perturbation of Harmonic Spaces. Math. Ann. 251, 111–122 (1980).

    Article  MathSciNet  MATH  Google Scholar 

  20. R.M. HERVE.-Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel. Ann. Inst. Fourier 12, 415–571 (1962).

    Article  MathSciNet  MATH  Google Scholar 

  21. R.M. HERVE; M. HERVE.-Les fonctions surharmoniques associées à un opérateur elliptique du second ordre à coefficients discontinus. Ann. Inst. Fourier 19, 305–359 (1969).

    Article  MathSciNet  MATH  Google Scholar 

  22. M. ITO.-Sur les fonctions polyharmoniques et le problème de Riquier. Nagoya Math. J. 37, 81–90 (1970).

    Article  MathSciNet  MATH  Google Scholar 

  23. K. JANBEN.-On the Existence of a Green Function for Harmonic Spaces: Math. Ann. 208, 295–303 (1974).

    Article  MathSciNet  Google Scholar 

  24. F.Y. MAEDA.-Semi-Linear perturbation of harmonic spaces, Hokkaido Math. J. 10 (1981), Special issue, 464–493.

    MathSciNet  MATH  Google Scholar 

  25. F.Y. MAEDA.-Dirichlet problem for a semi-linearly perturbed structure of a harmonic space, Hiroshima Math. J. 12 (1982), 103–113.

    MathSciNet  MATH  Google Scholar 

  26. M. NICOLESCU.-Les fonctions polyharmoniques, Hermann. Paris 1936.

    MATH  Google Scholar 

  27. E.P. SMYRNELIS.-Axiomatique des fonctions biharmoniques (I. Ann. Inst. Fourier, Vol. 25, no. 1, 1975, p. 35–97). (II. Ann. Inst. Fourier, Vol. 26, no. 3, 1976, p. 1–47).

    Article  MathSciNet  MATH  Google Scholar 

  28. E.P. SMYRNELIS.-Polarité et effilement dans les espaces biharmoniques; dans: Lecture Notes in Math. 681, Berlin-Heidelberg-New York: Springer 1977.

    MATH  Google Scholar 

  29. M. SIEVEKING.-Integraldarstellung superharmonischer Funktionen mit Anwendung auf parabolische Differentialgleichungen. In: Seminar über Potentialtheorie, 13–68, Lecture Notes in Math. 69 Berlin-Heidelberg-New York: Springer 1968.

    Chapter  Google Scholar 

  30. E.P. SMYRNELIS.-In Lecture Notes in Math. Vo. 787, Berlin-Heidelberg-New York: Springer 1979.

    Google Scholar 

  31. H. TANAKA.-The Riquier's Problem of an Elliptic Bi-harmonic Space. Bulletin de l'Academie Royale de Belgique. Classe des Sciences. 5 Serie 64, 1 (1978).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Département de Mathématiques Faculté des Sciences, Campus Universitaire Belvedère, Tunis, Tunisie

    Abderrahman Boukricha

Authors
  1. Abderrahman Boukricha
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Gabriel Mokobodzki Didier Pinchon

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Boukricha, A. (1984). Espaces biharmoniques. In: Mokobodzki, G., Pinchon, D. (eds) Théorie du Potentiel. Lecture Notes in Mathematics, vol 1096. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100109

Download citation

  • DOI: https://doi.org/10.1007/BFb0100109

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13894-5

  • Online ISBN: 978-3-540-39106-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation