Maximal Subellipticity

Brian Street

Published by De Gruyter 2023

Maximal Subellipticity

Brian Street

Volume 93 in the series De Gruyter Studies in Mathematics

https://doi.org/10.1515/9783111085647

Overview
Contents

About this book

Maximally subelliptic partial differential equations (PDEs) are a far-reaching generalization of elliptic PDEs. Elliptic PDEs hold a special place: sharp results are known for general linear and even fully nonlinear elliptic PDEs. Over the past half-century, important results for elliptic PDEs have been generalized to maximally subelliptic PDEs. This text presents this theory and generalizes the sharp, interior regularity theory for general linear and fully nonlinear elliptic PDEs to the maximally subelliptic setting.

Discusses sharp regularity theory for linear and fully nonlinear maximally subelliptic PDEs.
Covers Gaussian bounds for the heat equation for maximally subelliptic PDEs.
Presents function spaces adapted to maximally subelliptic PDEs.

Author / Editor information

Brian Street, University of Wisconsin-Madison, USA.

Topics

Frontmatter Publicly Available Download PDF	I
Contents Publicly Available Download PDF	V
1 Introduction Requires Authentication Unlicensed Licensed Download PDF	1
2 Ellipticity Requires Authentication Unlicensed Licensed Download PDF	31
3 Vector fields and Carnot–Carathéodory geometry Requires Authentication Unlicensed Licensed Download PDF	114
4 Pseudo-differential operators Requires Authentication Unlicensed Licensed Download PDF	205
5 Singular integrals Requires Authentication Unlicensed Licensed Download PDF	267
6 Besov and Triebel–Lizorkin spaces Requires Authentication Unlicensed Licensed Download PDF	393
7 Zygmund–Hölder spaces Requires Authentication Unlicensed Licensed Download PDF	486
8 Linear maximally subelliptic operators Requires Authentication Unlicensed Licensed Download PDF	534
9 Nonlinear maximally subelliptic equations Requires Authentication Unlicensed Licensed Download PDF	619
A Canonical coordinates Requires Authentication Unlicensed Licensed Download PDF	695
Bibliography Requires Authentication Unlicensed Licensed Download PDF	741
Symbol Index Requires Authentication Unlicensed Licensed Download PDF	753
Index Requires Authentication Unlicensed Licensed Download PDF	755

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Libraries, and researchers and graduate students studying in harmonic analysis or partial differential equations.
Pages
- Front matter: 10
- Main content: 758
Illustrations
- Illustrations: 1
Keywords: subelliptic; hypoelliptic; degenerate elliptic; sub-Riemannian; fully nonlinear

eBook

Published: July 4, 2023
ISBN: 9783111085647

Hardcover

Published: July 4, 2023
ISBN: 9783111085173