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math.PR2015
Regularity of stochastic Volterra equations by functional calculus methods
Roland Schnaubelt, Mark Veraar
We establish pathwise continuity properties of solutions to a stochastic Volterra equation with an additive noise term given by a local martingale. The deterministic part is govern…
math.PR2010
Stochastic equations with boundary noise
Roland Schnaubelt, Mark Veraar
We study the wellposedness and pathwise regularity of semilinear non-autonomous parabolic evolution equations with boundary and interior noise in an setting. We obtain existe…