Calculus of Variations and Geometric Measure Theory
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N. Gigli - E. Pasqualetto

Differential structure associated to axiomatic Sobolev spaces

created by pasqualetto on 14 Jul 2018

[BibTeX]

Preprint

Inserted: 14 jul 2018
Last Updated: 14 jul 2018

Pages: 14
Year: 2018

Abstract:

The aim of this note is to explain in which sense an axiomatic Sobolev space over a general metric measure space (à la Gol'dshtein-Troyanov) induces - under suitable locality assumptions - a first-order differential structure.

Keywords: axiomatic Sobolev space, locality of differentials, cotangent module


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