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math.PR2025
Weak uniqueness for stochastic partial differential equations in Hilbert spaces
Davide Addona, Davide Augusto Bignamini
Let be two separable Hilbert spaces. The main goal of this paper is to study the weak uniqueness of the Stochastic Differential Equation evolving in \begin{align*} dX(t)=…
math.PR2024
Pathwise uniqueness in infinite dimension under weak structure conditions
Davide Addona, Davide Augusto Bignamini
Let be two separable Hilbert spaces and . We consider an SDE which evolves in the Hilbert space of the form \begin{align} dX(t)=AX(t)dt+\widetilde{\mathscr L}B(X(t))…