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An Introduction to Involutive Structures

An Introduction to Involutive Structures

Hardcover

Series: New Mathematical Monographs, Book 6

General MathematicsGeometry

ISBN10: 0521878578
ISBN13: 9780521878579
Publisher: Cambridge University Press
Published: Mar 20 2008
Pages: 404
Weight: 1.49
Height: 1.00 Width: 5.90 Depth: 9.00
Language: English
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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