Classical fundamental solutions of the Cauchy problem for ultraparabolic Kolmogorov type equations with two groups of spatial variables

• Datum: 2016
• Hauptverfasser: Ivasyshen, S. D., Medynsky, I. P., Івасишен, С. Д., Мединський, І. П.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Інститут математики НАН України 2016
• Online Zugang: https://trim.imath.kiev.ua/index.php/trim/article/view/211
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

We construct and investigate the classical fundamental solution of the Cauchy problem for a degenerate Kolmogorov's equation whose coefficients depend on two groups of spatial variables. We obtain exact estimates of the fundamental solution and its derivatives.