Geodesic
Eikonal equations on ramified spaces
Fabio Camilli1 ; Dirk Schieborn2 ; Claudio Marchi3
1Università di Roma La Sapienza, Italy
2Universität Tübingen, Germany
3Università di Padova, Italy
Interfaces and free boundaries, Tome 15 (2013) no. 1, pp. 121-140

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DOI

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.
DOI : 10.4171/ifb/297
Classification : 49-XX, 35-XX, 58-XX, 00-XX
Mots-clés : Hamilton–Jacobi equation; ramified space; viscosity solution; comparison principle

Fabio Camilli  1   ; Dirk Schieborn  2   ; Claudio Marchi  3

1 Università di Roma La Sapienza, Italy
2 Universität Tübingen, Germany
3 Università di Padova, Italy 
Fabio Camilli; Dirk Schieborn; Claudio Marchi. Eikonal equations on ramified spaces. Interfaces and free boundaries, Tome 15 (2013) no. 1, pp. 121-140. doi: 10.4171/ifb/297
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