An Invitation to Hypoelliptic Operators an...

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Sprache: Englisch

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Beschreibung

¿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.

Über den Autor

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".

Zusammenfassung

Introduces the fundamental ideas and discusses the classical results about Hörmander's operators

Provides the relevant motivations behind the research in this area, ranging on several different disciplines

Contains also an overview of the recent lines of research

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.

Details

Erscheinungsjahr:	2013
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	SpringerBriefs in Mathematics
Inhalt:	xi 150 S. 3 s/w Illustr. 150 p. 3 illus.
ISBN-13:	9783319020860
ISBN-10:	3319020862
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Bramanti, Marco
Hersteller:	Springer Palgrave Macmillan Springer International Publishing AG SpringerBriefs in Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 10 mm
Von/Mit:	Marco Bramanti
Erscheinungsdatum:	05.12.2013
Gewicht:	0,26 kg