Friz, Peter K.Gassiat, PaulLions, Pierre-LouisSouganidis, Panagiotis E.2017-08-292017-08-2920162194-0401https://depositonce.tu-berlin.de/handle/11303/6658http://dx.doi.org/10.14279/depositonce-6099We study the existence and uniqueness of the stochastic viscosity solutions of fully nonlinear, possibly degenerate, second order stochastic pde with quadratic Hamiltonians associated to a Riemannian geometry. The results are new and extend the class of equations studied so far by the last two authors.en510 Mathematikfully non-linear stochastic partial differential equationseikonal equationspathwise stabilityrough pathsArticle2194-041X