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.
Eikonal equations on ramified spaces / Camilli, Fabio; Dirk, Schieborn; Claudio, Marchi. - In: INTERFACES AND FREE BOUNDARIES. - ISSN 1463-9963. - STAMPA. - 15:1(2013), pp. 121-140. [10.4171/ifb/297]
Eikonal equations on ramified spaces
CAMILLI, FABIO;
2013
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.File allegati a questo prodotto
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