Bellman function for extremal problems in $\mathrm{BMO}$ II: evolution
Analysis of PDEs
2015-10-06 v1
Abstract
In the paper "Bellman function for extremal problems in ", the authors built the Bellman function for integral functionals on the 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.
Cite
@article{arxiv.1510.01010,
title = {Bellman function for extremal problems in $\mathrm{BMO}$ II: evolution},
author = {Paata Ivanisvili and Dmitriy M. Stolyarov and Vasily I. Vasyunin and Pavel B. Zatitskiy},
journal= {arXiv preprint arXiv:1510.01010},
year = {2015}
}
Comments
127 pages, 37 figures