Local boundedness and higher integrability for the sub-critical singular porous medium system
Analysis of PDEs
2025-01-17 v1
Abstract
The gradient of weak solutions to porous medium-type equations or systems possesses a higher integrability than the one assumed in the pure notion of a solution. We settle the critical and sub-critical, singular case and complete the program.
Cite
@article{arxiv.2501.09486,
title = {Local boundedness and higher integrability for the sub-critical singular porous medium system},
author = {Verena Bögelein and Frank Duzaar and Ugo Gianazza and Naian Liao},
journal= {arXiv preprint arXiv:2501.09486},
year = {2025}
}