English

On generalized Li-Yau inequalities

Analysis of PDEs 2023-12-29 v1

Abstract

We generalize the Li-Yau inequality for second derivatives and we also establish Li-Yau type inequality for fourth derivatives. Our derivation relies on the representation formula for the heat equation.

Keywords

Cite

@article{arxiv.2312.16181,
  title  = {On generalized Li-Yau inequalities},
  author = {Li-Chang Hung},
  journal= {arXiv preprint arXiv:2312.16181},
  year   = {2023}
}
R2 v1 2026-06-28T14:02:22.364Z