An invitation to hypoelliptic operators and Hörmander's Vector Fields
著者
書誌事項
An invitation to hypoelliptic operators and Hörmander's Vector Fields
(SpringerBriefs in mathematics)
Springer, c2014
- : pbk
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注記
Includes bibliographical references
内容説明・目次
内容説明
Hoermander'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.
目次
1 Hoermander's operators: what they are.- 2 Hoermander's operators: why they are studied.- 3 A priori estimates in Sobolev spaces.- 4 Geometry of Hoermander's vector fields.- 5 Beyond Hoermander's operators.
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