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math.AP2026
Well-posedness of the stochastic thin-film equation with an interface potential
Antonio Agresti, Max Sauerbrey
We consider strictly positive solutions to a class of fourth-order conservative quasilinear SPDEs on the -dimensional torus modeled after the stochastic thin-film equation. We p…
math.AP2024
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…