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math.AP2010
Existence of weak solutions for a class of semilinear stochastic wave equations
Carlo Marinelli, Lluís Quer-Sardanyons
We prove existence of weak solutions (in the probabilistic sense) for a general class of stochastic semilinear wave equations on bounded domains of driven by a possibly disco…
math.AP2010
On uniqueness of mild solutions for dissipative stochastic evolution equations
Carlo Marinelli, Michael Röckner
In the semigroup approach to stochastic evolution equations, the fundamental issue of uniqueness of mild solutions is often "reduced" to the much easier problem of proving uniquene…