Eikonal equations on ramified spaces

Details Eikonal equations on ramified spaces Eikonal equations on ramified spaces

2012-01-25

arxiv.org/abs/1201.5220v1

Mathematics

Analysis of PDEs

Scientific paper

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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