Maximal Subellipticity / / Brian Street.
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...
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Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2023] ©2023 |
Year of Publication: | 2023 |
Language: | English |
Series: | De Gruyter Studies in Mathematics ,
93 |
Online Access: | |
Physical Description: | 1 online resource (X, 758 p.) |
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Other title: | Frontmatter -- Contents -- 1 Introduction -- 2 Ellipticity -- 3 Vector fields and Carnot–Carathéodory geometry -- 4 Pseudo-differential operators -- 5 Singular integrals -- 6 Besov and Triebel–Lizorkin spaces -- 7 Zygmund–Hölder spaces -- 8 Linear maximally subelliptic operators -- 9 Nonlinear maximally subelliptic equations -- A Canonical coordinates -- Bibliography -- Symbol Index -- Index |
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Summary: | 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. |
Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9783111085647 9783111175782 9783111319292 9783111318912 9783111319209 9783111318608 |
ISSN: | 0179-0986 ; |
DOI: | 10.1515/9783111085647 |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | Brian Street. |