Skip to main content
SpringerLink
Log in

Nash-Aronson estimates for solutions to some parabolic equations: Application to asymptotic diffusion problems

  • Mathematics
  • Published:
Doklady Mathematics 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. V. V. Zhikov, Funkts. Anal. Ego Prilozh. 35(1), 23–39 (2001).

    MathSciNet  Google Scholar 

  2. S. N. Kruzhkov, Dokl. Akad. Nauk SSSR 150, 470–473 (1963).

    MathSciNet  Google Scholar 

  3. S. N. Kruzhkov, Dokl. Akad. Nauk SSSR 150, 748–751 (1963).

    MathSciNet  Google Scholar 

  4. V. V. Zhikov, S. M. Kozlov, and O. A. Oleinik, Homogenization of Differential Operators (Nauka, Moscow, 1993) [in Russian].

    MATH  Google Scholar 

  5. V. V. Zhikov, Mat. Sb. 191(7), 31–72 (2000).

    MathSciNet  Google Scholar 

  6. V. V. Zhikov, Mat. Sb. 187(8), 3–40 (1996).

    MathSciNet  Google Scholar 

  7. B. Muckenhoupt, Trans. Am. Math. Soc. 15, 207–226 (1972).

    Article  MathSciNet  Google Scholar 

  8. E. M. Stein, Harmonic Analysis: Real Variable Methods, Orthogonality, and Oscillatory Integrals (Princeton Univ. Press, Princeton, 1993).

    MATH  Google Scholar 

  9. A. K. Gushchin and V. P. Mikhailov, Differ. Uravn. 7, 297–311 (1971).

    MATH  Google Scholar 

  10. V. V. Zhikov, Mat. Sb. 104, 597–616 (1977).

    MathSciNet  Google Scholar 

  11. S. Kamin, Proc. R. Soc. Edinburgh 7(1), 43–53 (1976).

    MathSciNet  Google Scholar 

  12. A. K. Gushchin, Mat. Sb. 119, 451–508 (1982).

    MathSciNet  Google Scholar 

  13. V. V. Zhikov, Mat. Sb. 181, 1283–1305 (1990).

    Google Scholar 

  14. V. N. Denisov, Usp. Mat. Nauk 60(4), 145–212 (2005).

    MathSciNet  Google Scholar 

  15. V. V. Zhikov and A. L. Pyatnitskii, Izv. Akad. Nauk, Ser. Mat. 70(1), 23–74 (2006).

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Vladimir State Pedagogical University, pr. Stroitelei 11, Vladimir, 600024, Russia

    V. V. Zhikov

Authors
  1. V. V. Zhikov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © V.V. Zhikov, 2007, published in Doklady Akademii Nauk, 2007, Vol. 413, No. 3, pp. 312–316.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhikov, V.V. Nash-Aronson estimates for solutions to some parabolic equations: Application to asymptotic diffusion problems. Dokl. Math. 75, 247–251 (2007). https://doi.org/10.1134/S1064562407020184

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064562407020184

Keywords

Search

Navigation