An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields (Springerbriefs in Mathematics)

Bramanti, Marco

Springer International Publishing AG（2013/12発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 150 p.
• 商品コード 9783319020860

Full Description

​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 studied.- 3 A priori estimates in Sobolev spaces.- 4 Geometry of Hörmander's vector fields.- 5 Beyond Hörmander's operators.