Skip to main content
Log in

Laurent expansion and local properties of solutions of ellptic systems

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. L. Bers, “Survey of local properties of solutions of elliptic partial differential equations,” Commun. Pure Appl. Math.,9, 339–350 (1956).

    Google Scholar 

  2. R. Harvey and J. C. Polking, “A Laurent expansion for solutions of elliptic equations,” Trans. Am. Math. Soc.,180, June, 407–413 (1983).

    Google Scholar 

  3. N. N. Tarkhanov, “Fundamental solutions of elliptic complexes and their applications,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 6, 33–42 (1983).

    Google Scholar 

  4. G. E. Shilov, Mathematical Analysis. Second Special Course [in Russian], Moscow State Univ. (1984).

  5. N. Bourbaki, Differentiable and Analytic Manifolds. Summary of Results [Russian translation], Mir, Moscow (1975).

    Google Scholar 

  6. A. Grothendieck, “Sur les espaces de solutions d'une classe generale d'equations aux derivées partielles,” J. Anal. Math.,2, 243–280 (1952/53).

    Google Scholar 

  7. P. Lax, “A stability theorem for solutions to the study of local behavior of solutions of elliptic equations,” Commun. Pure Appl. Math.,9, 747–766 (1956).

    Google Scholar 

  8. B. Malgrange, “Existence et approximation des solutions des equations aux derivées partielles et des equations de convolutions,” Ann. Inst. Fourier (Grenoble),6, 271–355 (1955/56).

    Google Scholar 

  9. R. Fueter, “Die Theorie der regulären Functionen einer Quaternionevariablen,” in: Oslo comptes Rendus die Congres International des Mathematiciens, Oslo (1936), pp. 75–91.

  10. B. Goldschmidt, “Series expansions and maximum principles for generalized analytic vectors in the spaceR n,” Math. Nach.,107, 241–251 (1982).

    Google Scholar 

Download references

Authors

Additional information

Krasnoyarsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 29, No. 6, pp. 123–134, November–December, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tarkhanov, N.N. Laurent expansion and local properties of solutions of ellptic systems. Sib Math J 29, 970–979 (1988). https://doi.org/10.1007/BF00972423

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00972423

Keywords

Navigation