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A Monotonicity Formula for the Extrinsic Biharmonic Map Heat Flow

Published 8 Apr 2025 in math.DG and math.AP | (2504.06089v1)

Abstract: We explore novel properties of the biharmonic heat kernel on Euclidean space and derive an entropy type quantity for the extrinsic biharmonic map heat flow which exhibits monotonicity behaviors for $n\leq 4$.

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