ENGLISH

An Introduction to Involutive Structures

By Shiferaw Berhanu , Paulo D. Cordaro , Jorge Hounie

Book information

Publisher
Cambridge University Press
Year
2008
ISBN
0521878578, 9780521878579, 9780511388149
Open Library ID
OL10438272M
Language
english
Format
PDF
Filesize
2 MB (2464250 bytes)
Series
New Mathematical Monographs
Edition
1
Pages
404\406
Scanned
yes
Time added
2011-04-28 18:43:47

Description

Detailing the main methods in the theory of involutive systems of complex vector fields this book examines the major results from the last twenty five years in the subject. One of the key tools of the subject - the Baouendi-Treves approximation theorem - is proved for many function spaces. This in turn is applied to questions in partial differential equations and several complex variables. Many basic problems such as regularity, unique continuation and boundary behaviour of the solutions are explored. The local solvability of systems of partial differential equations is studied in some detail. The book provides a solid background for others new to the field and also contains a treatment of many recent results which will be of interest to researchers in the subject.

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