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Eikonal equations on ramified spaces

Fabio Camilli, Dirk Schieborn, Claudio Marchi

Source record

Source: Crossref

Published: May 27, 2013

DOI: 10.4171/ifb/297

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Source abstract

We generalize the results in [23] 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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Eikonal equations on ramified spaces — Mathematical Frontier Network