2015/10/05 by Paata Ivanisvili, Ivanisvili, Paata, Dmitriy Stolyarov +5
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations
paper · pdf · doi:10.48550/arxiv.1510.01010
openalex publication_date 2015/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the paper "Bellman function for extremal problems in BMO", the authors built the Bellman function for integral functionals on the BMO space. The present paper provides a development of the subject. We abandon the majority of unwanted restrictions on the function that generates the functional. It is the new evolutional approach that allows us to treat the problem in its natural setting. What is more, these new considerations lighten dynamical aspects of the Bellman function, in particular, evolution of its picture.