Level set mean curvature flow with Neumann boundary conditions

Satoru Aimi

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arXiv · 2103.16386

Level set mean curvature flow with Neumann boundary conditions

Satoru Aimi

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Abstract

We investigate the relation between the level set approach and the varifold approach for the mean curvature flow with Neumann boundary conditions. With an appropriate initial data, we prove that the almost all level sets of the unique viscosity level set solution satisfy Brakke's inequality and a generalized Neumann boundary condition.

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Satoru Aimi. 2021-10-31. Level set mean curvature flow with Neumann boundary conditions. https://arxiv.org/abs/2103.16386

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