ENGLISH

Maximal Subellipticity

By Brian Street

Book information

Publisher
de Gruyter
Year
2023
ISBN
9783111085944, 9781470455378, 9781470473211, 9783111085647, 9783111085173
Language
english
Format
EPUB
Filesize
154 MB (161160074 bytes)
Series
De Gruyter Studies in Mathematics; 93
Pages
768\0
Time added
2023-07-11 02:51:44

Description

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.

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