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Bibliographic Details
Main Author: Zhu, Yuzhe
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2304.09800
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Table of Contents:
  • We explore quantitative propagation of smallness for solutions of two-dimensional elliptic equations from sets of positive $δ$-dimensional Hausdorff content for any $δ>0$. In particular, the gradients of solutions to divergence form equations with Hölder continuous coefficients, as well as those of nondivergence form equations with measurable coefficients, can be quantitatively estimated from the small sets.