Speaker: Yuzhe Zhu(The University of Chicago)
Time: Jun 19, 2024, 10:30-11:30
Location: Room M616, College of Science Building
Abstract
We will discuss several quantitative results on propagation of smallness for solutions of two-dimensional elliptic equations. In particular, the gradient of harmonic functions on Hölder surfaces can be quantitatively estimated from sets of positive Hausdorff dimensions. We will also talk about their applications to spectral inequalities and controllability results for heat equations.
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