A note on the frequency gaps between integers in the thin obstacle problem
Analysis of PDEs
2024-12-19 v1
Abstract
We give a simple proof of the fact that - in all dimensions - there are no homogeneous solutions to the thin obstacle problem with frequency belonging to intervals of the form , . In particular, there are no frequencies in the interval .
Cite
@article{arxiv.2412.13425,
title = {A note on the frequency gaps between integers in the thin obstacle problem},
author = {Federico Franceschini and Ovidiu Savin},
journal= {arXiv preprint arXiv:2412.13425},
year = {2024}
}