Skip to main content
Log in

Smoothness of solutions of the Cauchy problem for degenerate parabolic equations

  • Published:
Mathematical notes of the Academy of Sciences of the USSR 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.

Literature cited

  1. A. V. Babin, “Solution of the Cauchy problem using weighted approximations of the exponents of polynomials,” Funkts. Anal. Prilozhen.,17, No. 4, 75–76 (1983).

    Google Scholar 

  2. A. V. Babin, “Construction and investigation of solutions of differential equations by methods of function approximation theory,” Mat. Sb.,123, No. 2, 147–173 (1984).

    Google Scholar 

  3. S. M. Nikol'skii, Approximation of Functions of Several Variables and Imbedding Theory [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  4. O. A. Oleinik, “On smoothness of solutions of degenerate elliptic and parabolic equations,” Dokl. Akad. Nauk SSSR,163, No. 3, 577–580 (1965).

    Google Scholar 

  5. J. Hadamard, Le problème de Cauchy et les equations aux dérivées partielles linéaires hyperboliques, Hermann, Paris (1932).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 42, No. 1, pp. 60–72, July, 1987.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Babin, A.V. Smoothness of solutions of the Cauchy problem for degenerate parabolic equations. Mathematical Notes of the Academy of Sciences of the USSR 42, 544–551 (1987). https://doi.org/10.1007/BF01138724

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01138724

Keywords

Navigation