MENU

You are here

Maximal generalized solution of eikonal equation

TitleMaximal generalized solution of eikonal equation
Publication TypeJournal Article
Year of Publication2014
AuthorsZagatti, S
Abstract

We study the Dirichlet problem for the eikonal equation: 1/2 |∇u(x)|^2-a(x)=0 in Ω u(x)=(x) on Ω, without continuity assumptions on the map a(.). We find a class of maps a(.) contained in the space L∞(Ω) for which the problem admits a (maximal) generalized solution, providing a generalization of the notion of viscosity solution.

URLhttp://urania.sissa.it/xmlui/handle/1963/34642
DOI10.1016/j.jde.2014.04.001

Sign in