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arXiv · 2211.02123

A One Dimensional Proof of the H\"older Inequality using the Heat Equation

Venkat Sripad Ganti
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Abstract

This paper gives a proof of the H\"older Inequality by using supersolutions of the Heat Equation. The proof is based on a monotonicity formula for the heat equation presented in Tobias Colding's lectures at MIT.

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Venkat Sripad Ganti. 2022-11-03. A One Dimensional Proof of the H\"older Inequality using the Heat Equation. https://arxiv.org/abs/2211.02123

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