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Approximating singularities by a cuspidal edge on a maxface

2021/03/18 by Pradip Kumar, Kumar, Pradip, Sai Rasmi Ranjan Mohanty +1
Mathematics · Engineering · #advanced mathematical theories #Differential Equations and Boundary Problems #Advanced Numerical Analysis Techniques

paper · pdf · doi:10.48550/arxiv.2103.10358

Abstract

We give necessary and sufficient conditions on the singular Björling data to the singular Björling problem's solution has a prescribed nature of singularity. As an application, we prove that near a maxface with a particular type of singularity, there is another maxface having a cuspidal-edge. An example of a maxface having various types of singularities is also given.

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