$R-D$-Systems and Irzhina’s branching processes

• Date: 2025
• Main Authors: Safaryan, R. G., Сафарян , Р. Г.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2025
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9351
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For parabolic equations, containing a nonlinear part of a special form, one constructs a probabilistic representation of the solution in the form of the mathematical expectation of some functional of the trajectories of a branching process with a continuous set of particle types.