Skip to main content
SpringerLink
Log in

Uniqueness in certain inverse problems of the theory of heat conduction

  • Published:
Journal of engineering physics Aims and scope

Abstract

Uniqueness theorems are proved for inverse two-dimensional problems of the theory of heat conduction in two different formulations.

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

Similar content being viewed by others

Literature cited

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

    Google Scholar 

  2. O. M. Alifanov, “Regularizing schemes for solving inverse heat-conduction problems,” Inzh.-Fiz. Zh.,24, No. 2, 324–333 (1973).

    Google Scholar 

  3. A. N. Tikhonov, N. I. Kulik, I. N. Shklyarov, and V. B. Glasko, “On the results of mathematical modeling of a heat-conducting process,” Inzh.-Fiz. Zh.,39, No. 1, 5–10 (1980).

    Google Scholar 

  4. R. Lattes and J.-L. Lions, Method of Quasiinversion and Its Application [Russian translation], Mir, Moscow (1970).

    Google Scholar 

  5. N. V. Muzylev, “On the method of quasiinversion,” Zh. Vychisl. Mat. Mat. Fiz.,17, No. 3, 556–561 (1977).

    Google Scholar 

  6. é. R. Atamanov, “Uniqueness and estimate of the stability of the solution of a problem for the heat conduction equation with a moving sensor,” Inverse Problems for Differential Equations of Mathematical Physics (ed. by M. M. Lavrent'ev) [in Russian], Izd. Vychisl. Tsentr Sib. Otd. Akad. Nauk SSSR (1978), pp. 35–45.

  7. V. B. Glasko and E. E. Kondorskaya, “On the question of constructing Tikhonov regularizing algorithms for one-dimensional inverse heat-conduction problems,” Inzh.-Fiz. Zh.,43, No. 4, 631–637 (1982).

    Google Scholar 

  8. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  9. R. Courant and D. Hilbert, Methods of Mathematical Physics [Russian translation], Vol. 1, GITTL, Leningrad (1951).

    Google Scholar 

  10. A. N. Tikhonov and A. G. Sveshnikov, Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  11. V. A. Ditkin and A. P. Prudnikov, Operational Calculus [in Russian], Vysshaya Shkola, Moscow (1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    E. V. Bulychev & V. B. Glasko

Authors
  1. E. V. Bulychev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. B. Glasko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 45, No. 2, pp. 305–309, August, 1983.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bulychev, E.V., Glasko, V.B. Uniqueness in certain inverse problems of the theory of heat conduction. Journal of Engineering Physics 45, 940–943 (1983). https://doi.org/10.1007/BF00826479

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00826479

Keywords

Search

Navigation