In a previous study, 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.
Scopus subject areas
- Applied Mathematics