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arXiv · 2210.09207

Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms

Ariel Barton·Michael Duffy
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Abstract

We establish the Caccioppoli inequality, a reverse H\"older inequality in the spirit of the classic estimate of Meyers, and construct the fundamental solution for linear elliptic differential equations of order $2m$ with certain lower order terms.

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Ariel Barton, Michael Duffy. 2022-10-17. Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms. https://arxiv.org/abs/2210.09207

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