Lie's Structural Approach to PDE Systems
(Book #80 in the Encyclopedia of Mathematics and its Applications Series)
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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.
Format:Paperback
Language:English
ISBN:1107403324
ISBN13:9781107403321
Release Date:January 2012
Publisher:Cambridge University Press
Length:590 Pages
Weight:1.80 lbs.
Dimensions:1.2" x 6.1" x 9.2"
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