Bellman function for extremal problems in BMO II : evolution

Author(s)

    • Ivanisvili, Paata

Bibliographic Information

Bellman function for extremal problems in BMO II : evolution

Paata Ivanisvili ... [et al.]

(Memoirs of the American Mathematical Society, no. 1220)

American Mathematical Society, 2018

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Note

"September 2018, volume 255, number 1220 (third of 7 numbers)"

Includes bibliographical references (p. 131-133) and index

Description and Table of Contents

Description

In a previous study, the authors built the Bellman function for integral functionals on the $\mathrm{BMO}$ space. The present paper provides a development of the subject. They abandon the majority of unwanted restrictions on the function that generates the functional. It is the new evolutional approach that allows the authors to treat the problem in its natural setting. What is more, these new considerations lighten dynamical aspects of the Bellman function, in particular, the evolution of its picture.

Table of Contents

Introduction Setting and sketch of proof Patterns for Bellman candidates Evolution of Bellman candidates Optimizers Related questions and further development Bibliography Index

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