Cauchy problem for a class of degenerate kolmogorov-type parabolic equations with nonpositive genus

• Datum: 2010
• 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 2010
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2958
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study the properties of the fundamental solution and establish the correct solvability of the Cauchy problem for a class of degenerate Kolmogorov-type equations with $\{\overrightarrow{p},\overrightarrow{h}\}$-parabolic part with respect to the main group of variables and nonpositive vector genus...