Skip to main content
Log in

Uniqueness classes for the solutions of the cauchy problem for nonlinear 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. S. Kalashnikov, “On the Cauchy problem in the classes of increasing functions for certain quasilinear degenerate second-order parabolic equations,” Differents. Uravn.,9, No. 4, 682–691 (1973).

    Google Scholar 

  2. N. O. Maksimova, “On the uniqueness of the solutions of the Cauchy problem and of boundary value problems in unbounded domains for certain classes of nonlinear degenerate parabolic equations,” Tr. Sem. Petrovsk. No. 11, 12–31 (1986).

    Google Scholar 

  3. G. I. Barenblatt, “On self-similar solutions of the Cauchy problem for a nonlinear parabolic equation of the nonstationary filtration of a gas in a porous medium,” Prikl. Mat. Mekh.,20, No. 6, 761–763 (1956).

    Google Scholar 

  4. O. A. Oleinik and E. V. Radkevich, “The method of introducing a parameter for the investigation of evolution equations,” Usp. Mat. Nauk,33, No. 5, 7–76 (1978).

    Google Scholar 

  5. V. A. Solonnikov, “On the differential properties of weak solutions of quasilinear elliptic equations,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,39, 110–119 (1974).

    Google Scholar 

  6. A. E. Shishkov, “Behavior of the solutions of the Dirichlet problem for high-order quasilinear divergence-form elliptic equations in unbounded domains,” Sib. Mat. Zh.,28, No. 6, 134–146 (1987).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 48, No. 6, pp. 118–125, December, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shishkov, A.E. Uniqueness classes for the solutions of the cauchy problem for nonlinear degenerate parabolic equations. Mathematical Notes of the Academy of Sciences of the USSR 48, 1253–1258 (1990). https://doi.org/10.1007/BF01240270

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01240270

Keywords

Navigation