Upper bounds of nodal sets for Gevrey regular parabolic equations
Analysis of PDEs
2026-02-17 v2
Abstract
We consider the size of the nodal set of the solution of the second order parabolic-type equation with Gevrey regular coefficients. We provide an upper bound as a function of time. The dependence agrees with a sharp upper bound when the coefficients are analytic.
Cite
@article{arxiv.2409.09879,
title = {Upper bounds of nodal sets for Gevrey regular parabolic equations},
author = {Guher Camliyurt and Igor Kukavica and Linfeng Li},
journal= {arXiv preprint arXiv:2409.09879},
year = {2026}
}