On the regularity of the polar factorization for time dependent maps

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Abstract

We consider the polar factorization of vector valued mappings, introduced in [3], in the case of a family of mappings depending on a parameter. We investigate the regularity with respect to this parameter of the terms of the polar factorization by constructing some a priori bounds. To do so, we consider the linearization of the associated Monge-Ampère equation.

Original languageEnglish
Pages (from-to)343-374
Number of pages32
JournalCalculus of Variations and Partial Differential Equations
Volume22
Issue number3
DOIs
Publication statusPublished - Mar 2005
Externally publishedYes

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