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An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields [electronic resource] / by Marco Bramanti.

By: Bramanti, Marco [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: SpringerBriefs in Mathematics: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2014Description: XI, 150 p. 3 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319020877.Subject(s): Mathematics | Global analysis (Mathematics) | Operator theory | Differential equations, partial | Mathematics | Partial Differential Equations | Analysis | Operator TheoryDDC classification: 515.353 Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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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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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