Skip to main content
SpringerLink
Log in

Existence and Uniqueness of Solutions of Some Nonlinear Parabolic 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. Tsurkov, V.I., Izv.RAN.Teoriya i Sistemy Upravleniya, 2000, no. 3, pp. 107–110.

  2. Perona, P. and Malik, J., IEEE Trans.On Pattern Anal.and Mach Intel., 1990, vol. 12, no. 7, pp. 629–639.

    Google Scholar 

  3. Alvarez, L., Lions, P.-L., and Morel, J.-M., SIAM J.Numer.Anal., 1992, vol. 29, no. 3, pp. 845–866.

    Google Scholar 

  4. Proesmans, M., Pauwels, E.J., and van Gool, L., Geometry-Driven Diffusion in Computer Vision, Dordrecht, 1994.

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

  6. Lions, J.-L., Quelques mèthodes de rèsolution des problèmes aux limites nonlinèaires, Paris: Dunod, 1969. Translated under the title Nekotorye metody resheniya nelineinykh kraevykh zadach, Moscow: Mir, 1972.

    Google Scholar 

  7. Slobodetskii, L.N., Dokl.Akad.Nauk SSSR, 1958, vol. 120, no. 3, pp. 468–471.

    Google Scholar 

  8. Dubinskii, Yu.A., Mat.Sb., 1964, vol. 64, no. 3, pp. 458–480.

    Google Scholar 

  9. Besov, O.V., Il'in, V.P., and Nikol'skii, S.M., Integral'nye predstavleniya funktsii i teoremy vlozheniya (Integral Representations of Functions and Embedding Theorems), Moscow, 1996.

  10. Natanson, I.P., Teoriya funktsii veshchestvennoi peremennoi (Theory of Functions of a Real Variable), Moscow, 1974. DIFFERENTIAL EQUATIONS Vol. 39 No. 12 2003

Download references

Author information

Authors and Affiliations

  1. Moscow Institute of Physics and Technology, Moscow, Russia

    D. V. Kovkov

Authors
  1. D. V. Kovkov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kovkov, D.V. Existence and Uniqueness of Solutions of Some Nonlinear Parabolic Equations. Differential Equations 39, 1767–1774 (2003). https://doi.org/10.1023/B:DIEQ.0000023556.30916.bf

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:DIEQ.0000023556.30916.bf

Keywords

Search

Navigation