On unique continuation in measure for fractional heat equations
Abstract
We prove a theorem of unique continuation in measure for nonlocal equations of the type ( ∂ t − Δ ) s u = V ( x , t ) u (\partial _t - \Delta )^s u= V(x,t) u , for 0 > s > 1 0>s >1 . Our main result, Theorem 1.1, establishes a delicate nonlocal counterpart of the unique continuation in measure for the local case s = 1 s=1 .
Fields of Study & Subjects
Numerical methods in inverse problems
Differential Equations and Boundary Problems
advanced mathematical theories
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Volume
- 154
- Issue
- 10
- Pages
- 4331–4341
- Publication date
- 24 April 2026
- Language
- EN