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  3. An Introduction to Involutive Structures
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  • Publisher:
    Cambridge University Press
    Publication date:
    27 October 2009
    20 March 2008
    ISBN:
    9780511543067
    9780521878579
    DOI:
    https://doi.org/10.1017/CBO9780511543067
    Dimensions:
    (228 x 152 mm)
    Weight & Pages:
    0.7kg, 404 Pages
    Dimensions:
    Weight & Pages:
    • Subjects:
    Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Real and Complex Analysis
    Series:
    New Mathematical Monographs (6)
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    Subjects:
    Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Real and Complex Analysis
    Series:
    New Mathematical Monographs (6)
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    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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