Abstract
A study of the smoothness of two groups of solution components of systems whose space-variable operator splits into two operators, one parabolic and the other hyperbolic.
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R. D. Rikhtmaier, Some Problems in Computational and Applied Mathematics [in Russian], Novosibirsk (1966).
O. B. Novik, “Cauchy's problem for a system of partial differential equations involving hyperbolic and parabolic operators,” Zhurnal Vychisl. Matem. i Matem. Fiziki,9, No. 1, 122–136 (1969).
S. Pyasta, “Difference schemes with separable operators for mixed differential-equation systems,” Zhurnal Vychisl. Matem. i Matem. Fiziki,9, No. 4, 884–893 (1969).
B. P. Demidovich, Lectures on Mathematical Stability Theory [in Russian], Moscow (1967).
S. L. Sobolev, Applications of Functional Analysis in Mathematical Physics [in Russian], Novosibirsk (1962).
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Translated from Matematicheskie Zametki, Vol. 10, No. 1, pp. 93–99, July, 1971.
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Belov, Y.Y., Yanenko, N.N. Influence of viscosity on the smoothness of solutions of incompletely parabolic systems. Mathematical Notes of the Academy of Sciences of the USSR 10, 480–483 (1971). https://doi.org/10.1007/BF01747075
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DOI: https://doi.org/10.1007/BF01747075