47 citations · 230 across the 21 of their papers we have counts for
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Higher order moments for SPDE with monotone nonlinearities
Manuel V. Gnann, Jochem Hoogendijk, Mark C. Veraar
This paper introduces a new -dependent coercivity condition through which -moments for solutions can be obtained for a large class of SPDEs in the variational framework. If…
Non-negative Martingale Solutions to the Stochastic Thin-Film Equation with Nonlinear Gradient Noise
Konstantinos Dareiotis, Benjamin Gess, Manuel V. Gnann +1
We prove the existence of nonnegative martingale solutions to a class of stochastic degenerate-parabolic fourth-order PDEs arising in surface-tension driven thin-film flow influenc…
The stochastic thin-film equation: existence of nonnegative martingale solutions
Benjamin Gess, Manuel V. Gnann
We consider the stochastic thin-film equation with colored Gaussian Stratonovich noise in one space dimension and establish the existence of nonnegative weak (martingale) solutions…