Visualization of the convex integration solutions to the Monge-Ampère equation

Published 18 Jul 2018 in math.AP | (1807.06730v1)

Abstract: In this article, we implement the algorithm based on the convex integration result proved in [Lewicka-Pakzad Analysis and PDE (2017)] and obtain visualizations of the first iterations of the Nash-Kuiper scheme, approx- imating the anomalous solutions to the Monge-Amp`ere equation in two dimensions.

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