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Record Nr. |
UNINA9910299964203321 |
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Autore |
Bramanti Marco |
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Titolo |
An invitation to hypoelliptic operators and Hormander's vector fields / / Marco Bramanti |
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Pubbl/distr/stampa |
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Cham, Switzerland : , : Springer, , 2014 |
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ISBN |
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Edizione |
[1st ed. 2014.] |
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Descrizione fisica |
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1 online resource (xi, 150 pages) : illustrations |
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Collana |
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SpringerBriefs in Mathematics, , 2191-8198 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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. |
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