Eikonal equations on ramified spaces

Eikonal equations on ramified spaces

We generalize the results in [16] to higher dimensional ramified spaces. For this purpose we introduce ramified manifolds and, as special cases, locally elementary polygonal ramified spaces (LEP spaces). On LEP spaces we develop a theory of viscosity solutions for Hamilton-Jacobi equations, providin...

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Veröffentlicht in:arXiv.org 2012-01
Hauptverfasser: Camilli, Fabio, Schieborn, Dirk, Marchi, Claudio
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical analysis
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Zusammenfassung:We generalize the results in [16] to higher dimensional ramified spaces. For this purpose we introduce ramified manifolds and, as special cases, locally elementary polygonal ramified spaces (LEP spaces). On LEP spaces we develop a theory of viscosity solutions for Hamilton-Jacobi equations, providing existence and uniqueness results.
ISSN:2331-8422