An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields

• Κύριος συγγραφέας: Bramanti, Marco (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: SpringerBriefs in Mathematics,
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Operator theory.; Partial differential equations.; Partial Differential Equations.; Analysis.; Operator Theory.

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...

Πίνακας περιεχομένων:

• 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.