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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… Click to show full abstract

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.

Keywords: ultraparabolic kolmogorov; cauchy problem; fundamental solution; kolmogorov type; classical fundamental; solution cauchy

Journal Title: Journal of Mathematical Sciences
Year Published: 2020

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