Domains with globally exponentially integrable parabolic forward-in-time BMO
Classical Analysis and ODEs
2025-09-30 v1 Analysis of PDEs
Abstract
We characterize those open sets of the space time in which parabolic forward-in-time BMO functions are in a certain forward-in-time exponential integrability class. The characterization holds under qualitative connectivity assumptions on the domain and is formulated in terms of a quantitative growth bound on a forward-in-time version of the classical quasihyperbolic distance.
Cite
@article{arxiv.2509.24486,
title = {Domains with globally exponentially integrable parabolic forward-in-time BMO},
author = {Kim Myyryläinen and Tuomas Oikari and Olli Saari},
journal= {arXiv preprint arXiv:2509.24486},
year = {2025}
}
Comments
21 pages