Cauchy problem for one class of degenerate parabolic equations of Kolmogorov type with positive genus

• Datum: 2009
• Hauptverfasser: Ivasyshen, S. D., Litovchenko, V. A., Івасишен, С. Д., Літовченко, В. А.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2009
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3081
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We investigate properties of a fundamental solution and establish the correct solvability of the Cauchy problem for one class of degenerate Kolmogorov-type equations with \( \left\{ {\overrightarrow p, \overrightarrow h } \right\} \)-parabolic part with respect to the main group of variables and wit...