Integral Estimates for Approximations by Volume Preserving Maps

Published 18 Apr 2017 in math.AP | (1704.05198v1)

Abstract: A quantitative Brenier decomposition shows that the deviation of a map from volume preserving is bounded by the deviation of the derivative from volume preserving. A study of the matrix nearness problem for $SL(n)$ and $Sp(2n)$ relates the estimate to incompressible deformations of elastic materials.

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Christopher Policastro

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