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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505 0 0 |t Frontmatter --   |t Contents --   |t 1 Introduction --   |t 2 Ellipticity --   |t 3 Vector fields and Carnot–Carathéodory geometry --   |t 4 Pseudo-differential operators --   |t 5 Singular integrals --   |t 6 Besov and Triebel–Lizorkin spaces --   |t 7 Zygmund–Hölder spaces --   |t 8 Linear maximally subelliptic operators --   |t 9 Nonlinear maximally subelliptic equations --   |t A Canonical coordinates --   |t Bibliography --   |t Symbol Index --   |t Index 
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520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Aug 2023) 
650 4 |a sub-riemann. 
650 4 |a subelliptisch. 
650 4 |a volstandig nichtlinear. 
650 7 |a MATHEMATICS / Mathematical Analysis.  |2 bisacsh 
653 |a subelliptic, hypoelliptic, degenerate elliptic, sub-Riemannian, fully nonlinear. 
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