An approximation scheme for an Hamilton-Jacobi equation defined on a network
In this paper we study an approximation scheme for an Hamilton-Jacobi equation of Eikonal type defined on a network. We introduce an appropriate notion of viscosity solution for this class of equations (see \cite{sc}) and we prove that an approximation scheme of semi-Lagrangian type converges to the...
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| Sprache: | eng |
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| Zusammenfassung: | In this paper we study an approximation scheme for an Hamilton-Jacobi
equation of Eikonal type defined on a network. We introduce an appropriate
notion of viscosity solution for this class of equations (see \cite{sc}) and we
prove that an approximation scheme of semi-Lagrangian type converges to the
unique solution of the problem. |
|---|---|
| DOI: | 10.48550/arxiv.1105.5725 |