Higher integrability for parabolic systems with Orlicz growth
Analysis of PDEs
2021-08-23 v1 Functional Analysis
Abstract
We prove higher integrability of the spatial gradient of weak solutions to parabolic systems with -growth, where is a general Orlicz function. The parabolic systems need be neither degenerate nor singular. Our result is a generalized version of the one of J. Kinnunen and J. Lewis [Duke Math. J. 102 (2000), no. 2, 253--271] for the parabolic -Laplace systems.
Cite
@article{arxiv.1905.05577,
title = {Higher integrability for parabolic systems with Orlicz growth},
author = {Peter Hästö and Jihoon Ok},
journal= {arXiv preprint arXiv:1905.05577},
year = {2021}
}