Eikonal equations and pathwise solutions to fully non-linear SPDEs
  We 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. 
Peter K. Friz, Paul Gassiat, Pierre-Louis Lions, Panagiotis E.   Souganidis
math.PR