On the Vanishing Viscosity Approximation of a Time Dependent Hamilton-Jacobi Equation
Italo Capuzzo Dolcetta, Fabiana Leoni · Birkhäuser Basel eBooks · 2000
SummaryWe prove a new comparison result for monotone viscosity solutions of Hamilton-Jacobi equations. In combination with the classical vanishing viscosity method this allows us to prove existence and uniqueness of solution for Cauchy-Dirichlet problems.