Regularity criteria for the surface growth model with a forcing term
Analysis of PDEs
2026-03-16 v1
Abstract
Based on a compactness method, we establish regularity criteria for suitable weak solutions to the surface growth model with a forcing term. These criteria imply that the H\"older regularity of solutions follows from smallness conditions on several scale-invariant quantities. As a consequence, we obtain a partial regularity result stating that the one-dimensional biparabolic Hausdorff measure of the singular set is zero.
Cite
@article{arxiv.2603.12714,
title = {Regularity criteria for the surface growth model with a forcing term},
author = {Yuqian Cheng and Zhisu Li and Xuening Wei},
journal= {arXiv preprint arXiv:2603.12714},
year = {2026}
}
Comments
15 pages