Literature cited
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).
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).
S. M. Nikol'skii, Approximation of Functions of Several Variables and Imbedding Theory [in Russian], Nauka, Moscow (1977).
O. A. Oleinik, “On smoothness of solutions of degenerate elliptic and parabolic equations,” Dokl. Akad. Nauk SSSR,163, No. 3, 577–580 (1965).
J. Hadamard, Le problème de Cauchy et les equations aux dérivées partielles linéaires hyperboliques, Hermann, Paris (1932).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 42, No. 1, pp. 60–72, July, 1987.
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01138724