# Long time behaviour for the reinitialization of the distance function

created by carioni on 21 Dec 2017

[BibTeX]

Preprint

Inserted: 21 dec 2017
Last Updated: 21 dec 2017

Year: 2017

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.