English

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

Analysis of PDEs 2022-11-10 v2

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.

Keywords

Cite

@article{arxiv.2211.02123,
  title  = {A One Dimensional Proof of the H\"older Inequality using the Heat Equation},
  author = {Venkat Sripad Ganti},
  journal= {arXiv preprint arXiv:2211.02123},
  year   = {2022}
}

Comments

highs school-exists in literature