Maximal solutions for a class of singular Hamilton-Jacobi equations

F. Camilli, L. Grüne: Maximal solutions for a class of singular Hamilton-Jacobi equations
in: Proceedings of the Mathematical Theory of Networks and Systems (MTNS98), Padova, 1998, 447 - 450

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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.

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