《偏微分方程组中的李结构法》是2004年清华大学出版社出版的图书，作者是OlleStormark。这本书对偏微分方程的微分几何研究提供了清晰而全面的介绍。

• 书名 偏微分方程组中的李结构法
• 别名 Lie's Structural Approach to 、PDE Systems
• 作者 Olle Stormark
• 出版社 清华大学出版社
• 出版时间 2004年8月1日

　　图书简介

　　This book provides a lucid and comprehensi来自ve introduction to the differe360百科ntial geometri觉仅害克孩身言黄c study of partial differe伯由则坏使衣约罪浓ntial equatio岁校齐最五ns. It is the first book to present substantial results on local solva象着bility of general and, in partic学环亲治立答ular, nonl江该沿婷雷占货称走inear PDE systems without us劳存烈怀真考还日价ing power series techniques. The book describes a general approach to systems of p来财artial differential equations based on ideas developed by Lie, Cartan and Vessiot. The most basic question is that of local s脱盟衡olvability, bu代烧t the methods used also yield classifications of various families of PDE systems. The centra职讲背春l idea is the exploitation of singular vector field systems and their first i么权宽钟到担ntegrals. These considerations naturally lead to local Lie groups, Lie pseudogroups and t班调剧站he equivalence problem, all of which are covered in detail.

　　This book will be a va汉律了翻声续请助游luable resource for graduate students and researchers in partial differential equations, 运升族具章Lie groups and related field树身制互随胞色欢伟部苗s.