Skip to main content
SpringerLink
Log in

Uniqueness of the solution of the inverse problem of magnetotelluric sounding for two-dimensional media

  • II. Methods for Solving Inverse Problems
  • Published:
Computational Mathematics and Modeling Aims and scope Submit manuscript

Abstract

Uniqueness of the solution of the inverse problem of magnetotelluric sounding in two-dimensional media is proved under certain assumptions on conductivity.

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, "On uniqueness of solution of the problem of electrical prospecting,"Dokl. Akad. Nauk SSSR 69, No. 6, 797–800 (1949).

    Google Scholar 

  2. A. N. Tikhonov, "Mathematical substantiation of the theory of electromagnetic sounding,"Zh. Vychisl. Mat. Mat. Fiz. 5, No. 3, 545–547 (1965).

    Google Scholar 

  3. S. R. S. Varadhan, "On the behavior of the fundamental solution of the heat equation with variable coefficients,"Commun. Pure Appl. Math. 20, No. 4, 431–455 (1967).

    Google Scholar 

  4. P. Weidelt, Entwicklung und Erprobung eines Verfahrens zur Inversion zweidimensionaler Leitfähigkeitsstrukturen inE-Polarisation, Dissertion, Georg-August Univ., Gottingen (1978).

    Google Scholar 

  5. L. Hormander,The Analysis of Linear Partial Differential Operators, Springer, New York (1983).

    Google Scholar 

  6. A. L. Gusarov, "On uniqueness of the solution of the inverse problem of magnetotelluric sounding for two-dimensional media," in:Mathematical Models of Geophysical Problems [in Russian], Moscow State Univ. (1981), pp. 31–61.

Download references

Authors
  1. A. L. Gusarov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Metody Matematicheskogo Modelirovaniya, Avtomatizatsiya Obrabotki Nablyudenii i Ikh Primeneniya, pp. 231–242, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gusarov, A.L. Uniqueness of the solution of the inverse problem of magnetotelluric sounding for two-dimensional media. Comput Math Model 1, 209–217 (1990). https://doi.org/10.1007/BF01129064

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01129064

Keywords

Search

Navigation