78 citations · 667 across the 41 of their papers we have counts for
3 papers · 1 filter
Existence, uniqueness and stability of semi-linear rough partial differential equations
Peter Friz, Torstein Nilssen, Wilhelm Stannat
We prove well-posedness and rough path stability of a class of linear and semi-linear rough PDE's on using the variational approach. This includes well-posedness of…
Propagation of Chaos for Stochastic Spatially Structured Neuronal Networks with Delay driven by Jump Diffusions
Sima Mehri, Michael Scheutzow, Wilhelm Stannat +1
Spatially structured neural networks driven by jump diffusion noise with monotone coefficients, fully path dependent delay and with a disorder parameter are considered. Well-posedn…
Generalized Burgers equation with rough transport noise
Antoine Hocquet, Torstein Nilssen, Wilhelm Stannat
We introduce a new technique for studying well posedness and energy estimates for evolution equations with a rough transport term. The technique is based on finding suitable space-…