2017
Том 69
№ 9

All Issues

Fundamental solutions of the Cauchy problem for some degenerate parabolic equations of the Kolmogorov type

Ivasyshen S. D., Layuk V. V.

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Abstract

Fundamental solutions of the Cauchy problem for three classes of degenerate parabolic equations are investigated. These equations are natural generalizations of the classical Kolmogorov equation of the diffusion with the inertia.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 11, pp 1670-1705.

Citation Example: Ivasyshen S. D., Layuk V. V. Fundamental solutions of the Cauchy problem for some degenerate parabolic equations of the Kolmogorov type // Ukr. Mat. Zh. - 2011. - 63, № 11. - pp. 1469-1500.

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