Parabolic BMO and global integrability of supersolutions to doubly nonlinear parabolic equations
Analysis of PDEs
2016-12-13 v2 Classical Analysis and ODEs
Abstract
We prove that local and global parabolic BMO spaces are equal thus extending the classical result of Reimann and Rychener. Moreover, we show that functions in parabolic BMO are exponentially integrable in a general class of space-time cylinders. As a corollary, we establish global integrability for positive supersolutions to a wide class of doubly nonlinear parabolic equations.
Keywords
Cite
@article{arxiv.1408.5760,
title = {Parabolic BMO and global integrability of supersolutions to doubly nonlinear parabolic equations},
author = {Olli Saari},
journal= {arXiv preprint arXiv:1408.5760},
year = {2016}
}
Comments
19 pages