Upper bounds of nodal sets for Gevrey regular parabolic equations

2024/09/15 by Camliyurt, Guher, Kukavica, Igor, Li, Linfeng
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2409.09879

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.

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