On the regularity of the polar factorization for time dependent maps

G. Loeper

doi:10.1007/s00526-004-0280-y

On the regularity of the polar factorization for time dependent maps

G. Loeper

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

22 Citations (Scopus)

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 language	English
Pages (from-to)	343-374
Number of pages	32
Journal	Calculus of Variations and Partial Differential Equations
Volume	22
Issue number	3
DOIs	https://doi.org/10.1007/s00526-004-0280-y
Publication status	Published - Mar 2005
Externally published	Yes

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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-Amp{\`e}re equation.",

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AB - 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.

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JO - Calculus of Variations and Partial Differential Equations

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On the regularity of the polar factorization for time dependent maps

Abstract

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