Author

Max Sauerbrey

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Preprint Aug 2026

Finite speed of propagation and waiting time phenomena for stochastic porous media equations with nonlinear conservative noise

Starting from localized energy estimates, we prove finite speed of propagation for kinetic solutions to stochastic porous media equations with nonlinear conservative noise, the existence and uniqueness of which has recently been established. In particular, we propose a novel iteration technique which allows us to obtai...

G. Grün, Max Sauerbrey, Joshua Utley · 2 citations

Preprint Sep 2026

The Schr\"odinger equation with fluctuating nonlinearity in the energy space

We study nonlinear Schr\"odinger equations with nonlinear Stratonovich noise \begin{equation*} \mathrm{d} u\,=\, i\bigl[ \Delta u \,+\, \lambda|u|^{p-1}u\bigr] \, \mathrm{d} t \,+\,i|u|^{(q-1)/2}u\circ \mathrm{d} {W}, \end{equation*} in their energy space $H^1(\mathbb R^d;\mathbb C)$. By combining the stochastic Strich...

Max Sauerbrey, J. van Winden · 0 citations