Siberian Mathematical Journal

, Volume 20, Issue 6, pp 846–852 | Cite as

A method of stable solution of Cauchy's problem for elliptic equations

  • N. Yu. Bakaev
  • R. P. Tarasov


Elliptic Equation Stable Solution 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    S. G. Krein, “Correctness classes for certain boundary-value problems,” Dokl. Akad. Nauk SSSR,114, No. 6, 1162–1165 (1957).Google Scholar
  2. 2.
    S. G. Krein and O. I. Prozorovskaya, “Analytic semigroups and noncorrect problems for evolutionary equations,” Dokl. Akad. Nauk SSSR,133, No. 2, 277–280 (1960).Google Scholar
  3. 3.
    S. G. Krein and O. I. Prozorovskaya, “Approximation methods of solving noncorrect problems,” Zh. Vychisl. Mat. Mat. Fiz.,3, No. 1, 120–130 (1963).Google Scholar
  4. 4.
    R. Lattes and J.-L. Lions, Method of Quasi-Reversibility: Applications to Partial Differential Equations, Elsevier (1969).Google Scholar
  5. 5.
    M. M. Lavrent'ev, Some Noncorrect Problems in Mathematical Physics [in Russian], Nauka, Novosibirsk (1962).Google Scholar
  6. 6.
    G. I. Marchuk, Methods of Numerical Mathematics, Springer-Verlag (1975).Google Scholar
  7. 7.
    A. N. Tikhonov and V. Ya. Arsenin, Methods of Solving Noncorrect Problems [in Russian], Nauka, Moscow (1974).Google Scholar
  8. 8.
    P. E. Sobolevskii, “Fractional powers of weakly positive operators,” Dokl. Akad. Nauk SSSR,166, No. 6, 1296–1299 (1966).Google Scholar
  9. 9.
    S. G. Krein, Linear Differential Equations in Banach Space, Amer. Math. Soc. (1972).Google Scholar
  10. 10.
    E. Hille and R. S. Phillips, Functional Analysis and Semigroups, Amer. Math. Soc., Providence, R. I. (1957).Google Scholar
  11. 11.
    K. Yosida, Functional Analysis, Springer-Verlag (1974).Google Scholar

Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • N. Yu. Bakaev
  • R. P. Tarasov

There are no affiliations available

Personalised recommendations