Skip to main content
SpringerLink
Log in

Well-posedness of the inverse source problem for parabolic systems

  • Partial Differential Equations
  • Published:
Differential Equations 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

REFERENCES

  1. Vishik, M.I., Mat. Sb., 1951, vol. 29(71), no. 3, pp. 615–676.

    Google Scholar 

  2. Prilepko, A.I. and Tkachenko, D.S., Differents. Uravn., 2003, vol. 39, no. 11, pp. 1693–1700.

    Google Scholar 

  3. Isakov, V., Inverse Problems for Partial Differential Equations, New York, 1998.

  4. Kamynin, V.L., Mat. Zametki, 2003, vol. 73, no. 2, pp. 217–227.

    Google Scholar 

  5. Prilepko, A.I. and Tikhonov, I.V., Izv. RAN. Ser. Mat., 1994, vol. 58, no. 2, pp. 167–188.

    Google Scholar 

  6. Prilepko, A.I., Orlovsky, D.G., and Vasin, I.A., Methods for Solving Inverse Problems in Mathematical Physics, New York, 2000.

  7. Prilepko, A.I. and Tkachenko, D.S., Zh. Vychislit. Mat. Mat. Fiz., 2003, vol. 43, no. 9, pp. 1406–1415.

    Google Scholar 

  8. Sperb, R., Maximum Principles and Their Applications, New York, 1981.

  9. Sabitov, K.B., Differents. Uravn., 1990, vol. 26, no. 2, pp. 287–297.

    Google Scholar 

  10. Ladyzhenskaya, O.A., Mat. Sb., 1958, vol. 45(87), no. 4, pp. 123–158.

    Google Scholar 

  11. Vishik, M.I., Mat. Sb., 1956, vol. 39(81), no. 1, pp. 51–148.

    Google Scholar 

  12. Mikhailov, V.P., Differentsial’nye uravneniya v chastnykh proizvodnykh (Partial Differential Equations), Moscow, 1983.

  13. Ladyzhenskaya, O.A., Solonnikov, V.A., and Ural’tseva, N.N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa (Linear and Quasilinear Equations of Parabolic Type), Moscow, 1967.

  14. Ladyzhenskaya, O.A., Mat. Sb., 1956, vol. 39(81), no. 4, pp. 491–524.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    A. I. Prilepko & D. S. Tkachenko

  2. Moscow Institute of Engineering Physics, Moscow, Russia

    A. I. Prilepko & D. S. Tkachenko

Authors
  1. A. I. Prilepko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. S. Tkachenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Differentsial’nye Uravneniya, Vol. 40, No. 11, 2004, pp. 1540–1547. Original Russian Text Copyright – 2004 by Prilepko, Tkachenko.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Prilepko, A.I., Tkachenko, D.S. Well-posedness of the inverse source problem for parabolic systems. Diff Equat 40, 1619–1626 (2004). https://doi.org/10.1007/PL00021830

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/PL00021830

Keywords

Search

Navigation