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math.PR2024
Energy solutions of singular SPDEs on Hilbert spaces with applications to domains with boundary conditions
Lukas Gräfner, Nicolas Perkowski, Shyam Popat
In this paper we extend the theory of energy solutions for singular SPDEs, focusing on equations driven by highly irregular noise with bilinear nonlinearities, including scaling cr…
math.PR2024
Well-Posedness of the generalised Dean-Kawasaki Equation with correlated noise on bounded domains
Shyam Popat
In this paper, we extend the notion of stochastic kinetic solutions introduced in arXiv:2108.08858 to establish the well-posedness of stochastic kinetic solutions of generalized De…