TY - JOUR
T1 - Maximal generalized solution of eikonal equation
Y1 - 2014
A1 - Sandro Zagatti
AB - 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.
PB - Elsevier
UR - http://urania.sissa.it/xmlui/handle/1963/34642
U1 - 34846
U2 - Mathematics
U4 - 1
ER -