4.2 Article

A nonautonomous chain rule in W1,p and BV

Journal

MANUSCRIPTA MATHEMATICA
Volume 140, Issue 3-4, Pages 461-480

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s00229-012-0548-z

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Funding

  1. ERC ADG GeMeThNES

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In this paper we consider the chain rule formula for compositions x bar right arrow F(u(x)) 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 C (1) with respect to z. Our results extend to this nonautonomous case the results known for compositions x bar right arrow F(u(x)).

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