AI 中文总结
本文以传真形式公开1993年手写笔记，其内容为一般拟线性抛物型方程（含归一化$p$-拉普拉斯算子）的Bochner型最大值原理计算，该方案近期被用于推导尖锐Li-Yau不等式。
AI 中文摘要
本笔记以传真形式提供了一组1993年9月的手写笔记，这些笔记致力于一类一般的拟线性抛物型方程的Bochner型最大值原理计算，该类方程包含归一化抛物型$p$-拉普拉斯算子作为特例：\\[ u_t = \Delta u + (p-2)\\,|\nabla u|^{-2}\\,\nabla^2u(\nabla u,\nabla u). \\] 这些笔记在Jin和Silvestre的论文引言中被致谢，他们提出的方案最近已在文献中实施，以获得该方程的尖锐Li-Yau不等式。此处按原文逐字复制，未作任何改动，前面附有简要引言，解释其内容及该方程后续的发展历史。
英文摘要
This note makes available, in facsimile form, a set of handwritten notes from September 1993 devoted to Bochner-type maximum principle computations for a general class of quasilinear parabolic equations which contains, as a special instance, the normalized parabolic $p$-Laplacian \[ u_t = Δu + (p-2)\,|\nabla u|^{-2}\,\nabla^2u(\nabla u,\nabla u). \] The notes were acknowledged in the introduction of the paper of Jin and Silvestre \cite{JS}, and the scheme they propose has recently been implemented in \cite{BGM} to obtain the sharp Li-Yau inequality for this equation. They are reproduced here verbatim, with no alterations, preceded by a brief introduction explaining their content and the subsequent history of the equation.
