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A note on doubly nonlinear SPDEs with singular drift in divergence form
Carlo Marinelli, Luca Scarpa
We prove well-posedness for a class of second-order SPDEs with multiplicative Wiener noise and doubly nonlinear drift in divergence form involving maximal monotone graphs defined e…
A doubly nonlinear Cahn-Hilliard system with nonlinear viscosity
Elena Bonetti, Pierluigi Colli, Luca Scarpa +1
In this paper we discuss a family of viscous Cahn-Hilliard equations with a non-smooth viscosity term. This system may be viewed as an approximation of a "forward-backward" parabol…
Refined existence and regularity results for a class of semilinear dissipative SPDEs
Carlo Marinelli, Luca Scarpa
We prove existence and uniqueness of solutions to a class of stochastic semilinear evolution equations with a monotone nonlinear drift term and multiplicative noise, considerably e…
Ergodicity and Kolmogorov equations for dissipative SPDEs with singular drift: a variational approach
Carlo Marinelli, Luca Scarpa
We prove existence of invariant measures for the Markovian semigroup generated by the solution to a parabolic semilinear stochastic PDE whose nonlinear drift term satisfies only a…
On the stochastic Cahn-Hilliard equation with a singular double-well potential
Luca Scarpa
We prove well-posedness and regularity for the stochastic pure Cahn-Hilliard equation under homogeneous Neumann boundary conditions, with both additive and multiplicative Wiener no…
Singular Stochastic Allen-Cahn equations with dynamic boundary conditions
Carlo Orrieri, Luca Scarpa
We prove a well-posedness result for stochastic Allen-Cahn type equations in a bounded domain coupled with generic boundary conditions. The (nonlinear) flux at the boundary aims at…