On regularity properties of a surface growth model
Analysis of PDEs
2023-07-12 v4
Abstract
We show local higher integrability of derivative of a suitable weak solution to the surface growth model, provided a scale-invariant quantity is locally bounded. If additionally our scale-invariant quantity is small, we prove local smoothness of solutions.
Cite
@article{arxiv.2004.05216,
title = {On regularity properties of a surface growth model},
author = {Jan Burczak and Wojciech S. Ożański and Gregory Seregin},
journal= {arXiv preprint arXiv:2004.05216},
year = {2023}
}
Comments
18 pages