Long time behaviour for the reinitialization of the distance function

Marcello Carioni

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arXiv · 1711.01956

Long time behaviour for the reinitialization of the distance function

Marcello Carioni

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Abstract

In this article we study the long-time behaviour of a class of non-coercive Hamilton-Jacobi equations, that includes, as a notable example, the so called reinitialization of the distance function. In particular we prove that its viscosity solution converges uniformly as $t\rightarrow +\infty$ to the signed distance function from the zero level set of the initial data.

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Marcello Carioni. 2017-11-06. Long time behaviour for the reinitialization of the distance function. https://arxiv.org/abs/1711.01956

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