An Introduction to Involutive Structures

Inbunden, Engelska, 2008

Del 6 i serien New Mathematical Monographs

1 771 kr

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Beskrivning

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

Utgivningsdatum:2008-03-20
Mått:160 x 235 x 25 mm
Vikt:700 g
Format:Inbunden
Språk:Engelska
Serie:New Mathematical Monographs
Antal sidor:404
Förlag:Cambridge University Press
ISBN:9780521878579

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Mer om författaren

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.

Recensioner i media

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

Innehållsförteckning

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.