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

2018/07/18 by Codenotti, Luca, Lewicka, Marta
#35R25 #65M99 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1807.06730

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-Ampère equation in two dimensions.

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