An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields

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ISBN-13:
9783319020860
Einband:
Book
Erscheinungsdatum:
05.12.2013
Seiten:
164
Autor:
Marco Bramanti
Gewicht:
261 g
Format:
238x154x15 mm
Sprache:
Englisch
Beschreibung:
Introduces the fundamental ideas and discusses the classical results about Hörmander's operators
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.
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.

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