Skip to main content
Log in

Weak solutions to Burgers-type equations with nonsmooth data

  • Brief Communications
  • Published:
Mathematical Notes Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. E. Hopf,Comm. Pure Appl. Math.,3, No. 3, 201–230 (1950).

    MATH  MathSciNet  Google Scholar 

  2. O. A. Oleinik,Uspekhi Mat. Nauk [Russian Math. Surveys],12, No. 3, 3–73 (1957).

    MATH  MathSciNet  Google Scholar 

  3. S. N. Kruzhkov,Mat. Sb. [Math. USSR-Sb.],81, No. 2, 228–255 (1970).

    MATH  MathSciNet  Google Scholar 

  4. K.-S. Cheng,J. Diff. Eq.,61, No. 1, 79–127 (1986).

    MATH  Google Scholar 

  5. J. D. Avrin,Proc. Amer. Math. Soc.,101, No. 1, 29–40 (1987).

    MATH  MathSciNet  Google Scholar 

  6. D. Hoff and J. Smoller, in:Nonlinear Systems of Partial Differential Equations in Applied Mathematics. Part 2, Lectures in Applied Mathematics, Vol. 23, Providence, R.I. (1986), pp. 371–381.

    MathSciNet  Google Scholar 

  7. H. A. Biagioni,J. Diff. Eq.,97, No. 2, 263–287 (1992).

    MATH  MathSciNet  Google Scholar 

  8. V. V. Chistyakov,Vestnik Moskov. Univ. Ser. I Mat. Mekh. [Moscow Univ. Math. Bull.], No. 3, 44–48 (1986).

    MATH  MathSciNet  Google Scholar 

  9. A. M. Il'in, A. S. Kalashnikov, and O. A. Oleinik,Uspekhi Mat. Nauk [Russian Math. Surveys],17, No. 3, 3–146 (1962).

    Google Scholar 

  10. R. A. Adams,Sobolev Spaces, Academic Press, New York (1975).

    Google Scholar 

  11. W. K. Lyons,Quart. Appl. Math.,40, No. 4 (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated fromMatematicheskie Zametki, Vol. 58, No. 3, pp. 471–476, September, 1995.

The author is grateful to Yu. I. Dmitriev for his assistance.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chistyakov, V.V. Weak solutions to Burgers-type equations with nonsmooth data. Math Notes 58, 1005–1009 (1995). https://doi.org/10.1007/BF02304783

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02304783

Keywords

Navigation