紀錄類型: |
書目-電子資源
: Monograph/item
|
杜威分類號: |
515.353 |
書名/作者: |
Hörmander operators/ Marco Bramanti, Luca Brandolini. |
作者: |
Bramanti, Marco, |
其他作者: |
Brandolini, Luca, |
出版者: |
Singapore : : World Scientific,, c2023. |
面頁冊數: |
1 online resource (724 p.) |
標題: |
Vector fields. |
標題: |
Partial differential operators. |
標題: |
Elliptic operators. |
ISBN: |
9789811261695 |
ISBN: |
9811261695 |
ISBN: |
9789811261701 |
書目註: |
Includes bibliographical references and index. |
摘要、提要註: |
"Hörmander 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 Hörmander and is intimately connected to the geometry of vector fields. Motivations for the study of Hörmander 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 Hörmander 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"-- |
電子資源: |
https://www.worldscientific.com/worldscibooks/10.1142/13006#t=toc |