Oscillatory free boundary problems in stochastic materials
Analysis of PDEs
2024-04-05 v1
Abstract
We investigate a class of free boundary problems with oscillatory singularities within stochastic materials. Our main result yields sharp regularity estimates along the free boundary, provided the power of the singularity varies in a Dini-continuous fashion below a certain threshold. We also reveal an interesting repelling estimate preventing the free boundary from touching the region where the singularity power oscillates above the threshold.
Cite
@article{arxiv.2404.03060,
title = {Oscillatory free boundary problems in stochastic materials},
author = {Damião J. Araújo and Ginaldo S. Sá and Eduardo V. Teixeira and José Miguel Urbano},
journal= {arXiv preprint arXiv:2404.03060},
year = {2024}
}