A nonautonomous chain rule in W1,p and BV View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2013-03

AUTHORS

Luigi Ambrosio, Graziano Crasta, Virginia De Cicco, Guido De Philippis

ABSTRACT

In this paper we consider the chain rule formula for compositions in the case when u has a Sobolev or BV regularity and F(x, z) is separately Sobolev, or BV, with respect to x and C1 with respect to z. Our results extend to this “nonautonomous” case the results known for compositions . More... »

PAGES

461-480

References to SciGraph publications

Journal

TITLE

manuscripta mathematica

ISSUE

3-4

VOLUME

140

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00229-012-0548-z

DOI

http://dx.doi.org/10.1007/s00229-012-0548-z

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1053457822


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