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  1. Home
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  3. An Introduction to Involutive Structures
  • Cited by 81
Publisher:
Cambridge University Press
Online publication date:
October 2009
Print publication year:
2008
Online ISBN:
9780511543067
DOI:
https://doi.org/10.1017/CBO9780511543067
Subjects:
Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Real and Complex Analysis
Series:
New Mathematical Monographs (6)
Information

Book 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.

Reviews

'… carefully organised … The book will be very useful for students wanting to learn the subject and it also introduces interesting recent results for specialists.'

Source: EMS Newsletter

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