An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields

• Main Author: Bramanti, Marco (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: SpringerBriefs in Mathematics,
• Subjects: 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...

Table of 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.