Hormander Operators

By: Marco Bramanti, Luca Brandolini

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Hardcover | 11 November 2022

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Hardcover
724 Pages

Dimensions(cm)
24.41 x 16.99 x 3.81

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H¶rmander operators are a class of linear second order partial differential operators with nonnegative characteristic form and smooth coefficients, which are usually degenerate elliptic-parabolic, but nevertheless hypoelliptic, that is highly regularizing. The study of these operators began with the 1967 fundamental paper by Lars H¶rmander and is intimately connected to the geometry of vector fields.

Motivations for the study of H¶rmander operators come for instance from Kolmogorov-Fokker-Planck equations arising from modeling physical systems governed by stochastic equations and the geometric theory of several complex variables. The aim of this book is to give a systematic exposition of a relevant part of the theory of H¶rmander operators and vector fields, together with the necessary background and prerequisites.

The book is intended for self-study, or as a reference book, and can be useful to both younger and senior researchers, already working in this area or aiming to approach it.

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