Lie's Structural Approach to PDE Systems

Language: English

Published by Cambridge University Press, GB, 2000

0521780888 / 9780521780889

Series: Book 69 of 188 - Encyclopedia of Mathematics and its Applications

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This book provides a lucid and comprehensive introduction to the differential geometric study of partial differential equations. It was the first book to present substantial results on local solvability of general and, in particular, nonlinear PDE systems without using power series techniques. The book describes a general approach to systems of partial differential equations based on ideas developed by Lie, Cartan and Vessiot. The most basic question is that of local solvability, but the methods used also yield classifications of various families of PDE systems. The central idea 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.

Seller Inventory # LU-9780521780889

Title
Lie's Structural Approach to PDE Systems
Author
Olle Stormark
Publisher
Cambridge University Press, GB
Publication year
2000
Condition
New
Binding
Hardback
Language
English
ISBN 10
0521780888
ISBN 13
9780521780889
Item weight
1,080 grams
Series
Book 69 of 188: Encyclopedia of Mathematics and its Applications

Rarewaves.com UK

London, United Kingdom

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