Title: Lie's Structural Approach to PDE Systems: 80 (Encyclopedia of Mathematics and its Applications, Series Number 80)
Publisher: Cambridge University Press
Publication Date: 2000
Language: English
ISBN 10: 0521780888
ISBN 13: 9780521780889
Binding: Hardback
Condition: Very Good
Weight: 939 grams

About this title

Synopsis

Here is a lucid and comprehensive introduction to the differential geometric study of partial differential equations (PDE). The first book to present substantial results on local solvability of general and nonlinear PDE systems without using power series techniques, it describes a general approach to PDE systems based on ideas developed by Lie, Cartan and Vessiot. The central theme is the exploitation of singular vector field systems and their first integrals. These considerations naturally lead to local Lie groups, Lie pseudogroups and the equivalence problem, all of which are covered in detail. This book will be a valuable resource for graduate students and researchers in partial differential equations, Lie groups and related fields.

Book Description

This book provides a lucid and comprehensive introduction to the differential geometric study of partial differential equations. It is the first book to present substantial results on local solvability of general and, in particular, nonlinear PDE systems without using power series techniques. The author describes a general approach to systems of partial differential equations based on ideas developed by Lie, Cartan and Vessiot. A valuable resource for graduate students and researchers in partial differential equations, Lie groups and related fields.

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