Uniqueness of weak solutions of fully nonlinear stochastic partial differential equations

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Multidimensional Stochastic Processes as Rough Paths: Theory and Applications (2010, background): “From the works of Lions—Souganidis [104, 105, 106] we conjecture that the present results extend to sufficiently smooth but non-linear .”
A (rough) pathwise approach to a class of non-linear stochastic partial differential equations (2009, background): “Turning to the main topic of this paper, we follow [35,36,38] in considering a real-valued function of time and space u = u(t,x) ∈ BC ( [ 0 ,T ) × R n ) which solves the non-linear partial differential equation in viscosity sense .”