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arXiv · 1707.07744

Quantitative unique continuation for the heat equation with Coulomb potentials

Can Zhang
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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 $C^2$-smooth bounded domain. The approach is based on the frequency function method, as well as some parabolic-type Hardy inequalities.

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Can Zhang. 2017-07-24. Quantitative unique continuation for the heat equation with Coulomb potentials. https://arxiv.org/abs/1707.07744

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