Quantitative uniqueness for parabolic equations with H\"older potentials
Analysis of PDEs
2026-04-15 v1
Abstract
In this note we derive a space-like quantitative uniqueness result for parabolic operators with H\"older zero-order term that interpolates between the Donnelly-Fefferman and the Bourgain-Kenig estimate. This generalizes a recent result of Teng, Wang and Zhu for the time-independent Schr\"odinger operator with a H\"older potential.
Keywords
Cite
@article{arxiv.2604.12230,
title = {Quantitative uniqueness for parabolic equations with H\"older potentials},
author = {Agnid Banerjee and Nicola Garofalo},
journal= {arXiv preprint arXiv:2604.12230},
year = {2026}
}