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Maximal Subellipticity
-
Brian Street
Language:
English
Published/Copyright:
2023
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
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Frontmatter
I -
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Contents
V -
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1 Introduction
1 -
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2 Ellipticity
31 -
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3 Vector fields and Carnot–Carathéodory geometry
114 -
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4 Pseudo-differential operators
205 -
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5 Singular integrals
267 -
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6 Besov and Triebel–Lizorkin spaces
393 -
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7 Zygmund–Hölder spaces
486 -
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8 Linear maximally subelliptic operators
534 -
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9 Nonlinear maximally subelliptic equations
619 -
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A Canonical coordinates
695 -
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Bibliography
741 -
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Symbol Index
753 -
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Index
755
Publishing information
Pages and Images/Illustrations in book
eBook published on:
July 4, 2023
eBook ISBN:
9783111085647
Hardcover published on:
July 4, 2023
Hardcover ISBN:
9783111085173
Pages and Images/Illustrations in book
Front matter:
10
Main content:
758
Illustrations:
1
Keywords for this book
subelliptic; hypoelliptic; degenerate elliptic; sub-Riemannian; fully nonlinear
Audience(s) for this book
Libraries, and researchers and graduate students studying in harmonic analysis or partial differential equations.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
