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arXiv · 1201.5220

Eikonal equations on ramified spaces

Fabio Camilli·Dirk Schieborn·Claudio Marchi
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Abstract

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.

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Fabio Camilli, Dirk Schieborn, Claudio Marchi. 2012-01-25. Eikonal equations on ramified spaces. https://arxiv.org/abs/1201.5220

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