Fundamental solutions of the Cauchy problem are studied for three classes of degenerate parabolic equations obtained as natural generalizations of the classic Kolmogorov diffusion equations with inertia.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 11, pp. 1469–1500, November, 2011.
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Ivasyshen, S.D., Layuk, V.V. Fundamental solutions of the Cauchy problem for some degenerate parabolic equations of the Kolmogorov type. Ukr Math J 63, 1670–1705 (2012). https://doi.org/10.1007/s11253-012-0606-4
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DOI: https://doi.org/10.1007/s11253-012-0606-4