Lie's Structural Approach to PDE Systems (Hardcover)

Olle Stormark

ISBN 10: 0521780888 / ISBN 13: 9780521780889

Published by Cambridge University Press, Cambridge, 2000

About this Item

Hardcover. 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 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. This book describes a general approach to systems of partial differential equations based on ideas developed by Lie, Cartan and Vessiot. It provides a lucid and comprehensive introduction and will be a valuable resource for graduate students and researchers in partial differential equations, Lie groups and related fields. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9780521780889

Bibliographic Details

• Title: Lie's Structural Approach to PDE Systems (Hardcover)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2000
• Language: English
• ISBN 10: 0521780888
• ISBN 13: 9780521780889
• Binding: Hardcover
• Edition: 1st Edition
• Condition: new

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.