On the superposition principle for probability solutions to Fokker-Planck-Kolmogorov equations

• 主讲人：Stanislav Shaposhnikov (Lomonosov Moscow State University)
• 举办方： Bejing-Moscow Mathematics Colloquium
• 时间： 2023-05-05 16:00 - 2023-05-05 17:00
• 地点： online

Recording: https://disk.pku.edu.cn:443/link/8FBEB1B4EA1EF5DCCCBFE7DD969C3285
Valid Until: 2027-06-30 23:59

 

Abstract: The superposition principle expresses a deep connection between the solutions of the martingale problem and the probability solutions of the Fokker-Planck-Kolmogorov equation. It has been extensively studied in recent years and the best-known results were obtained by L. Ambrosio, A. Figalli, and D. Trevisan. We will present a generalization of the superposition principle in the case of unbounded coefficients and arbitrary domain, demonstrate several counterexamples and formulate open problems.

 

Bio: Stanislav Shaposhnikov is a Professor at the Department of Mathematical Analysis of Lomonosov Moscow State University. He graduated from MSU in 2006, obtained PhD degree in 2009 and Doctor of Sciences degree in 2011. His research focuses on the Fokker-Planck-Kolmogorov equations. Prof. Shaposhnikov was awarded the Shuvalov Prize of MSU and the Kolmogorov Prize of the Russian Academy of Sciences.