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math.AP2023
Optimal Regularity in Time and Space for Nonlocal Porous Medium Type Equations
Benjamin Gess, Jonas Sauer
A broad class of possibly non-unique generalized kinetic solutions to hyperbolic-parabolic PDEs is introduced. Optimal regularity estimates in time and space for such solutions to…
math.AP2023
Solutions to the stochastic thin-film equation for initial values with non-full support
Konstantinos Dareiotis, Benjamin Gess, Manuel V. Gnann +1
The stochastic thin-film equation with mobility exponent on the one-dimensional torus with multiplicative Stratonovich noise is considered. We show that mart…