Eikonal equations on ramified spaces
Fabio Camilli
Università di Roma La Sapienza, ItalyDirk Schieborn
Universität Tübingen, GermanyClaudio Marchi
Università di Padova, Italy
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.
Cite this article
Fabio Camilli, Dirk Schieborn, Claudio Marchi, Eikonal equations on ramified spaces. Interfaces Free Bound. 15 (2013), no. 1, pp. 121–140
DOI 10.4171/IFB/297