Title: An invitation to hypoelliptic operators and Hörmander's vector fields /
Authors: Bramanti, Marco, 1963-
Year: 2014
Subjects: Distribution (Probability theory); Hypoelliptic operators.; Vector fields.
Abstract: 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
Contents: 1. Hörmander's operators: what they are -- 2. Hörmander's operators: why they are studies -- 3. A Priori estimates in Sobolev spaces for Hörmander's operators -- 4. Geometry of Hörmander's vector fields -- 5. Beyond Hörmander's operators/