Bramanti An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields

2014
ISBN: 978-3-319-02087-7
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 150 Seiten, eBook

Reihe: SpringerBriefs in Mathematics

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Bramanti, Marco

Inhaltsverzeichnis

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.

Über Autor(innen)

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 reasearch interests include linear second order partial differential equations with nonnegative characteristic form, geometry of Hörmander's vector fields, real analysis, in particular singular integral theory. Author of about 30 research papers on refereed journals, one research monograph, some contributions to congress proceedings, 14 textbooks, more than 60 reviews for "Mathematical Reviews".