Lie's Structural Approach to PDE Systems - Couverture rigide

Stormark, Olle

Couverture rigide

ISBN 10 : 0521780888 ISBN 13 : 9780521780889

Editeur : Cambridge University Press, 2000

Synopsis

This book provides a lucid and comprehensive introduction to the differential geometric study of partial differential equations.

A propos du livre

Présentation de l'éditeur

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.

Revue de presse

Review of the hardback: '... a worthwhile and successful attempt to introduce the ideas of Sophus Lie.' H. Boseck, Zentralblatt für Mathematik

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2000
• Langue: anglais
• ISBN 10: 0521780888
• ISBN 13: 9780521780889
• Reliure: Relié
• Nombre de pages: 590
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France