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math.PR2020
On the differentiability of solutions to singularly perturbed SPDEs
Carlo Marinelli
We consider semilinear stochastic evolution equations on Hilbert spaces with multiplicative Wiener noise and linear drift term of the type , with and max…
math.PR2020
Singular perturbations and asymptotic expansions for SPDEs with an application to term structure models
Sergio Albeverio, Carlo Marinelli, Elisa Mastrogiacomo
We study the dependence of mild solutions to linear stochastic evolution equations on Hilbert space driven by Wiener noise, with drift having linear part of the type $A+\varepsilon…