Weak notions of Jacobian determinant and relaxation

Guido De Philippis

doi:10.1051/cocv/2010047

Weak notions of Jacobian determinant and relaxation

Guido De Philippis

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we study two weak notions of Jacobian determinant for Sobolev maps, namely the distributional Jacobian and the relaxed total variation, which in general could be different. We show some cases of equality and use them to give an explicit expression for the relaxation of some polyconvex functionals.

Original language	English (US)
Pages (from-to)	181-207
Number of pages	27
Journal	ESAIM - Control, Optimisation and Calculus of Variations
Volume	18
Issue number	1
DOIs	https://doi.org/10.1051/cocv/2010047
State	Published - Jan 2012

Keywords

Distributional determinant
Relaxation
Topological degree

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization
Computational Mathematics

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10.1051/cocv/2010047

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Weak notions of Jacobian determinant and relaxation

Abstract

Keywords

ASJC Scopus subject areas

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