Del 6 i serien New Mathematical Monographs

An Introduction to Involutive Structures

Inbunden, Engelska, 2008

AvShiferaw Berhanu,Paulo D. Cordaro,Jorge Hounie

2 469 kr

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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.

Produktinformation

Utgivningsdatum2008-03-20
Mått160 x 235 x 25 mm
Vikt700 g
FormatInbunden
SpråkEngelska
SerieNew Mathematical Monographs
Antal sidor404
FörlagCambridge University Press
ISBN9780521878579

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Matematik inom Naturvetenskap och teknik

Preface; 1. Locally integrable structures; 2. The Baouendi-Treves approximation formula; 3. Sussmann's orbits and unique continuation; 4. Local solvability of vector fields; 5. The FBI transform and some applications; 6. Some boundary properties of solutions; 7. The differential complex associated to a formally integrable structure; 8. Local solvability in locally integrable structures; Epilogue; Bibliography; A. Hardy space lemmas.