Path-by-path uniqueness of infinite-dimensional stochastic differential equations

Lukas Wresch

Consider the stochastic differential equation $\mathrm{d}{X}_t=-A{X}_t\mathrm{d}t+f(t,X_t)\mathrm{d}t+\mathrm{d}{B}_t$ in a (possibly infinite-dimensional) separable Hilbert sp…