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20122025
most citedExistence and regularity of the density for the solution to semilinear dissipative parabolic SPDEs

1 citations · 1 across the 4 of their papers we have counts for

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math.PR2025

A note on stochastic semilinear dissipative evolution equations

Carlo Marinelli

Existence and uniqueness of mild solutions to a class of semilinear stochastic evolution equations with additive noise is proved. The linear part of the drift term is the generator…

math.PR2023

On mild solutions to some dissipative SPDEs on spaces with additive noise

Carlo Marinelli

We establish well-posedness in the mild sense for a class of stochastic semilinear evolution equations on spaces on bounded domains of with a nonlinear drift t…

math.PR2012★ 1 cited

Existence and regularity of the density for the solution to semilinear dissipative parabolic SPDEs

Carlo Marinelli, Eulalia Nualart, Lluís Quer-Sardanyons

We prove existence and smoothness of the density of the solution to a nonlinear stochastic heat equation on (evaluated at fixed points in time and space), where…