Titlebook: An Invitation to Hypoelliptic Operators and Hörmander‘s Vector Fields; Marco Bramanti Book 2014 The Author(s) 2014 Hörmander‘s operators.H

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Fester

,Geometry of Hörmander’s Vector Fields,, and some of its physical meanings which have been known for a long time. We then pass to survey some ideas and fundamental results about the metric induced by a system of vector fields, which are contained in some papers of the middle 1980’s. This area is by a now an independent field of study, bu

misanthrope

,Beyond Hörmander’s Operators,0’s. As we will see, most of these developments have . the class of operators under study, passing from classical Hörmander’s operators to operators “structured on Hörmander’s vector fields”, in various senses, or operators also containing nonsmooth ingredients. In the end, most of these new kinds o

Arthropathy

FLOAT

Book 2014have 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..

ARCHE

2191-8198 e research in this area, ranging on several different discip.​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 resear

PLE

Sabine Junginger,Caroline Paulick-Thiel operators with real coefficients, Hörmander’s proved in 1967 a fundamental result which opened the way to the study of what are now called “Hörmander’s operators”. The chapter describes this circle of ideas.

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