### 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 |
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Pages (from-to) | 343-374 |

Number of pages | 32 |

Journal | Calculus of Variations and Partial Differential Equations |

Volume | 22 |

Issue number | 3 |

DOIs | |

Publication status | Published - Mar 2005 |

Externally published | Yes |

### Cite this

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**On the regularity of the polar factorization for time dependent maps.** / Loeper, G.

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

TY - JOUR

T1 - On the regularity of the polar factorization for time dependent maps

AU - Loeper, G.

PY - 2005/3

Y1 - 2005/3

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=13144288189&partnerID=8YFLogxK

U2 - 10.1007/s00526-004-0280-y

DO - 10.1007/s00526-004-0280-y

M3 - Article

VL - 22

SP - 343

EP - 374

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

SN - 0944-2669

IS - 3

ER -