@article {2014,
title = {Maximal generalized solution of eikonal equation},
number = {Journal of differential equations;volume 257; issue 1; pages 231-263;},
year = {2014},
publisher = {Elsevier},
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$\infty$(Ω) for which the problem admits a (maximal) generalized solution, providing a generalization of the notion of viscosity solution.},
doi = {10.1016/j.jde.2014.04.001},
url = {http://urania.sissa.it/xmlui/handle/1963/34642},
author = {Sandro Zagatti}
}