Ya. I. Belopolskaya, “Stochastic models of chemotaxis processes”, Zap. Nauchn. Sem. POMI, 2018, Volume 474,Pages <nobr>7

This article is cited in 1 paper

Stochastic models of chemotaxis processes

Ya. I. Belopolskaya^ab

^a St. Petersburg State University of Architecture and Civil Engineering, St. Petersburg, Russia
^b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia

Abstract: We construct a probabilistic representation of the Cauchy problem generalized solutions for a class of systems of parabolic equations with cross-diffusion which generalize the Keller–Segel system.

Key words and phrases: diffusion processes, systems of forward Kolmogorov equations, weak and mild solutions of the Cauchy problem.

UDC: 519.2

Received: 06.11.2018