Upper bounds of nodal sets for Gevrey regular parabolic equations
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.
Fields of Study & Subjects
Numerical methods in inverse problems
Differential Equations and Boundary Problems
Advanced Mathematical Modeling in Engineering
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Volume
- 154
- Issue
- 11
- Pages
- 4799–4809
- Publication date
- 13 May 2026
- Language
- EN