Skip to main content
SpringerLink
Log in

Conditionally stable linear problems and the Carleman formula

  • 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

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. T. Carleman, Les Fonctions Quasi Analytiques, Gauther-Villarars, Paris (1926).

    Google Scholar 

  2. A. N. Tikhonov and V. Ya. Arsenin, Methods of Solving Incorrect Problems [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  3. L. A. Aizenberg and N. N. Tarkhanov, “The abstract Carleman formula,” Dokl. Akad. Nauk SSSR,298, No. 6, 1292–1295 (1988).

    Google Scholar 

  4. A. Alexiewicz and Z. Semadeni, “Linear functional on two-norm spaces,” Stud. Math.,17, No. 2, 121–140 (1958).

    Google Scholar 

  5. S. Agmon, A. Douglis, and L. Nirenberg, “Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions: I,” Commun. Pure Appl. Math.,12, 623–727 (1959).

    Google Scholar 

  6. N. N. Tarkhanov, “The Carleman matrix for elliptic systems,” Dokl. Akad. Nauk SSSR,284, No. 2, 294–297 (1985).

    Google Scholar 

  7. E. M. Landis, “Some properties of solutions of elliptic equations,” Dokl. Akad. Nauk SSSR,107, No. 5, 640–643 (1956).

    Google Scholar 

  8. M. M. Lavrent'ev, “The Cauchy problem for linear second-order elliptic equations,” Dokl. Akad. Nauk SSSR,112, No. 2, 195–197 (1957).

    Google Scholar 

  9. L. A. Aizenberg, “A multidimensional analogue of the Carleman formula,” Dokl. Akad. Nauk SSSR,277, No. 6, 1289–1291 (1984).

    Google Scholar 

  10. L. A. Aizenberg, “Multidimensional analogues of the Carleman formula with integration along boundary sets of maximum dimension,” pp. 12–22, in: Multidimensional Complex Analysis, Izd. Inst. Phys. of the Siberian Section of the Academy of Sciences of the USSR, Krasnoyarsk (1985).

    Google Scholar 

  11. L. A. Aizenberg, “Some boundary properties of analytic functions of many complex variables,” pp. 239–241, in: Investigations in Contemporary Problems of the Theory of Functions of a Complex Variable, Fizmatgiz, Moscow (1961).

    Google Scholar 

  12. A. Sadullaev, “A boundary theory of uniqueness in ℂn,” Sib. Mat. Zh.,101, No. 4, 568–583 (1976).

    Google Scholar 

  13. W. Rudin, Function Theory in Polydiscs, W. A. Benjamin, New York (1969).

    Google Scholar 

  14. V. A. Bolotov, “The recovery of holomorphic functions according to values on certain one-dimensional sets,” pp. 223–226, in: Multidimensional Complex Analysis, Izd. Inst. Phys. of the Siberian Section of the Academy of Sciences of the USSR, Krasnoyarsk (1985).

    Google Scholar 

  15. N. S. Krasikova and Yu. V. Khurumov, “Null sets of bounded holomorphic functions,” p. 53, in: Complex Analysis and Mathematical Physics, Izd. Inst. Phys. of the Siberian Section of the Academy of Sciences of the USSR, Krasnoyarsk (1987).

    Google Scholar 

Download references

Authors
  1. L. A. Aizenberg
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. N. Tarkhanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Krasnoyarsk City. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 6, pp. 9–15, November–December, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aizenberg, L.A., Tarkhanov, N.N. Conditionally stable linear problems and the Carleman formula. Sib Math J 31, 875–880 (1990). https://doi.org/10.1007/BF00970052

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00970052

Keywords

Search

Navigation