Maximal solutions for a class of singular Hamilton-Jacobi equations

Titelangaben

Camilli, Fabio ; Grüne, Lars:
Maximal solutions for a class of singular Hamilton-Jacobi equations.
Bayreuth , 1998

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Abstract

In this paper we present results about the solutions of a class of singular Hamilton-Jacobi equations. Since these equations in general do not have a unique solution we define the notion of maximal solutions for which a stability result can be proved. Furthermore we present a discretization scheme for their numerical computation and give an estimate for the discretization error.