most citedAn improved characterisation of regular generalised functions of white noise and an application to singular SPDEs

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math.FA2018★ 2 cited

Overdamped limit of generalized stochastic Hamiltonian systems for singular interaction potentials

Andreas Nonnenmacher, Martin Grothaus

First weak solutions of generalized stochastic Hamiltonian systems (gsHs) are constructed via essential m-dissipativity of their generators on a suitable core. For a scaled gsHs we…