Hormander Operators (Hardcover) (ISBN-13: 9789811261688)

Hmander 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mander and is intimately connected to the geometry of vector fields.Motivations for the study of Hmander 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mander 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.

Author: Marco Bramanti, Luca Brandolini
ISBN-10: 9811261687
ISBN-13: 9789811261688
Publisher: World Scientific Publishing Company
Language: English
Published: 12/27/2022
Pages: 724
Format: Hardcover
Weight: 2.96lbs
Size: 9.61h x 6.69w x 1.50d