Bramanti, Marco.
An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields [electronic resource] / by Marco Bramanti. - XI, 150 p. 3 illus. online resource. - SpringerBriefs in Mathematics, 2191-8198 . - SpringerBriefs in Mathematics, .
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.
9783319020877
10.1007/978-3-319-02087-7 doi
Mathematics.
Global analysis (Mathematics).
Operator theory.
Differential equations, partial.
Mathematics.
Partial Differential Equations.
Analysis.
Operator Theory.
QA370-380
515.353
An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields [electronic resource] / by Marco Bramanti. - XI, 150 p. 3 illus. online resource. - SpringerBriefs in Mathematics, 2191-8198 . - SpringerBriefs in Mathematics, .
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.
9783319020877
10.1007/978-3-319-02087-7 doi
Mathematics.
Global analysis (Mathematics).
Operator theory.
Differential equations, partial.
Mathematics.
Partial Differential Equations.
Analysis.
Operator Theory.
QA370-380
515.353