Literature Cited
A. McNabb, “Comparison and existence theorems for multicomponent diffusion systems,” J. Math. Anal. Appl.,3, No. 1, 133–144 (1961).
V. N. Maslennikova, “On a class of quasi-linear diffusion equations,” Dokl. Akad. Nauk SSSR,146, No. 2, 303–306 (1962).
V. N. Maslennikova, “The first boundary-value problem for some quasi-linear systems in the mathematical theory of diffusion,” Vychisl. Mat. Mat. Fiz.,3, No. 3, 467–477 (1963).
V. N. Maslennikova, “The first boundary-value problem for quasi-linear diffusion systems,” Dokl. Akad. Nauk SSSR,150, No. 5, 991–994 (1963).
L. I. Kamynin and V. N. Maslennikova, “Boundary estimates of the Schauder type for solutions of problems involving a directional derivative for parabolic equations in nocylindrical domains,” Sib. Mat. Zh.,7, No. 1, 83–128 (1966).
A. M. Il'in, A. S. Kalashnikov, and O. A. Oleinik, “Second-order linear equations of parabolic type,” Usp. Mat. Nauk,7, No. 3, 3–146 (1962).
O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva, Linear and Quasi-Linear Equations of Parabolic Type, Amer. Math. Soc. (1968).
A. Friedman, Partial Differential Equations, Krieger (1976).
Additional information
P. Lumumba International Friendship University, Moscow. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 21, No. 6, pp. 61–70, November–December, 1980.
Rights and permissions
About this article
Cite this article
Maslennikova, V.N., Gapeeva, N.V. Problem involving a directional derivative for multicomponent diffusion systems and chemical kinetics. Sib Math J 21, 797–804 (1980). https://doi.org/10.1007/BF00968466
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00968466