On Multidimensional Generalized Diffusion Processes

• Datum: 2003
• Hauptverfasser: Shevchenko, H. M., Шевченко, Г. М.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2003
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4003
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We construct a multidimensional generalized diffusion process with the drift coefficient that is the (generalized) derivative of a vector-valued measure satisfying an analog of the Hölder condition with respect to volume. We prove the existence and continuity of the density of transition probability...