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Classical Fundamental Solution of the Cauchy Problem for Ultraparabolic Kolmogorov-Type Equations with Two Groups of Spatial Variables of Degeneration. I

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We construct a classical fundamental solution of the Cauchy problem for the degenerate ultraparabolic Kolmogorov-type equation with two groups of spatial variables of degeneration. We also established exact estimates for this solution and its derivatives.

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Authors and Affiliations

  1. “I. Sikorsky Kyiv Polytechnic Institute” Ukrainian National Technical University, Kyiv, Ukraine

    S. D. Іvasyshen

  2. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    S. D. Іvasyshen & І. P. Мedynsky

  3. Lviv Polytechnic National University, Lviv, Ukraine

    І. P. Мedynsky

Authors
  1. S. D. Іvasyshen
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  2. І. P. Мedynsky
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 60, No. 3, pp. 9–31, July–September, 2017.

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Іvasyshen, S.D., Мedynsky, І.P. Classical Fundamental Solution of the Cauchy Problem for Ultraparabolic Kolmogorov-Type Equations with Two Groups of Spatial Variables of Degeneration. I. J Math Sci 246, 121–151 (2020). https://doi.org/10.1007/s10958-020-04726-z

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