An Introduction to Involutive Structures (New Mathematical Monographs, Series Number 6) - Hardcover

Berhanu, Shiferaw; Cordaro, Paulo D.; Hounie, Jorge

Hardcover

ISBN 10: 0521878578 ISBN 13: 9780521878579

Publisher: Cambridge University Press, 2008

Synopsis

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.

About this title

Book Description

Detailing the main tools and methods in the theory of involutive systems of complex vector fields, this book examines the major results from last twenty five years in the subject. A solid background for graduate students together with treatment of many recent results that will be of interest to researchers.

About the Author

Shiferaw Berhanu is a Professor of Mathematics at Temple University in Philadelphia.

Paulo D. Cordaro is a Professor of Mathematics in the Institute of Mathematics and Statistics at the University of São Paulo.

Jorge Hounie is a Professor of Mathematics at the Federal University of São Carlos in Brazil.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2008
• ISBN 10: 0521878578
• ISBN 13: 9780521878579
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 404