Quantitative unique continuation for the heat equation with Coulomb potentials
Analysis of PDEs
2017-07-26 v1
Abstract
In this paper, we establish a H\"older-type quantitative estimate of unique continuation for solutions to the heat equation with Coulomb potentials in either a bounded convex domain or a -smooth bounded domain. The approach is based on the frequency function method, as well as some parabolic-type Hardy inequalities.
Keywords
Cite
@article{arxiv.1707.07744,
title = {Quantitative unique continuation for the heat equation with Coulomb potentials},
author = {Can Zhang},
journal= {arXiv preprint arXiv:1707.07744},
year = {2017}
}