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math.PR2026
No free lunch for continuity of stochastic convolutions
Mark Veraar, Joris van Winden
We construct compact, exponentially stable -semigroups on Hilbert spaces such that, for every , the stochastic convolution $U_g(t)=\int_0^t S(t-s)g(s)\,\mathrm{d}…
math.AP2026
The Schrödinger equation with fluctuating nonlinearity in the energy space
Max Sauerbrey, Joris van Winden
We study nonlinear Schrödinger equations with nonlinear Stratonovich noise \begin{equation*} \mathrm{d} u\,=\, i\bigl[ Δu \,+\, λ|u|^{p-1}u\bigr] \, \mathrm{d} t \,+\,i|u|^{(q-1)/2…