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Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms (2210.09207v1)

Published 17 Oct 2022 in math.AP

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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