140 citations · 709 across the 61 of their papers we have counts for
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Nonlinear diffusion equations with nonlinear gradient noise
Konstantinos Dareiotis, Benjamin Gess
We prove the existence and uniqueness of entropy solutions for nonlinear diffusion equations with nonlinear conservative gradient noise. As particular applications our results incl…
Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations
Sebastian Becker, Benjamin Gess, Arnulf Jentzen +1
Optimal upper and lower error estimates for strong full-discrete numerical approximations of the stochastic heat equation driven by space-time white noise are obtained. In particul…
Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise
Benjamin Fehrman, Benjamin Gess
We prove the path-by-path well-posedness of stochastic porous media and fast diffusion equations driven by linear, multiplicative noise. As a consequence, we obtain the existence o…
Speed of propagation for Hamilton-Jacobi equations with multiplicative rough time dependence and convex Hamiltonians
Paul Gassiat, Benjamin Gess, Pierre-Louis Lions +1
We show that the initial value problem for Hamilton-Jacobi equations with multiplicative rough time dependence, typically stochastic, and convex Hamiltonians satisfies finite speed…
Entropy solutions for stochastic porous media equations
Konstantinos Dareiotis, Maté Gerencsér, Benjamin Gess
We provide an entropy formulation for porous medium-type equations with a stochastic, non-linear, spatially inhomogeneous forcing. Well - posedness and -contraction is obtaine…