We 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.
On the vanishing viscosity approximation of a time dependent Hamilton - Jacobi equation / CAPUZZO DOLCETTA, Italo; Leoni, Fabiana. - (2000), pp. 59-75. - PROGRESS IN NONLINEAR DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS.
On the vanishing viscosity approximation of a time dependent Hamilton - Jacobi equation
CAPUZZO DOLCETTA, Italo
;LEONI, Fabiana
2000
Abstract
We 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.File allegati a questo prodotto
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