arXiv Analytics

Sign in

arXiv:1711.01956 [math.AP]AbstractReferencesReviewsResources

Long time behaviour for the reinitialization of the distance function

Marcello Carioni

Published 2017-11-06Version 1

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.

Related articles: Most relevant | Search more
arXiv:2410.20943 [math.AP] (Published 2024-10-28)
Long time behaviour of generalised gradient flows via occupational measures
arXiv:1207.1175 [math.AP] (Published 2012-07-05, updated 2013-04-20)
Invariant measures and long time behaviour for the Benjamin-Ono equation
arXiv:1304.5056 [math.AP] (Published 2013-04-18, updated 2013-04-22)
Invariant measures and long time behaviour for the Benjamin-Ono equation II