An Invitation To Hypoelliptic Operators And Hormander's Vector Fields by Marco BramantiAn Invitation To Hypoelliptic Operators And Hormander's Vector Fields by Marco Bramanti

An Invitation To Hypoelliptic Operators And Hormander's Vector Fields

byMarco Bramanti

Paperback | December 5, 2013

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Hörmander's operators are an important class of linear elliptic-parabolic degenerate partial differential operators with smooth coefficients, which have been intensively studied since the late 1960s and are still an active field of research. This text provides the reader with a general overview of the field, with its motivations and problems, some of its fundamental results, and some recent lines of development.

Marco Bramanti is Associate Professor of Mathematical Analysis at the Department of Mathematics, Politecnico di Milano, Italy. Graduated in Mathematics in 1987, Ph.D. in Mathematics in 1993 at the University of Milano (Italy). He has been visiting University of Minnesota (USA) and Universidad Autnoma de Madrid (Spain). His current reas...
Title:An Invitation To Hypoelliptic Operators And Hormander's Vector FieldsFormat:PaperbackDimensions:150 pagesPublished:December 5, 2013Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319020862

ISBN - 13:9783319020860


Table of Contents

1 Hörmander's operators: what they are.- 2 Hörmander's operators: why they are studied.- 3 A priori estimates in Sobolev spaces.- 4 Geometry of Hörmander's vector fields.- 5 Beyond Hörmander's operators.

Editorial Reviews

From the book reviews:"It represents a detailed survey of the theory of hypoelliptic operators and Hörmander's vector fields, containing all the main results, from the first contributions in the late 1960s up to the most recent results. . a valuable guide to the literature of this field and will certainly be much appreciated by every Ph.D. student working in PDEs." (Fabio Nicola, Mathematical Reviews, February, 2015)"The text is a good introduction to the subject for those interested in this branch of the theory of partial differential equations. . It has plenty of examples that illustrate the topics being studied, mainly in the first chapters. . The book finishes with some more recent results that are set, in some way, in an extended class of Hörmander's operators." (Sérgio Luís Zani, zbMATH, Vol. 1298, 2014)