This paper is concerned with the asymptotic behavior of the solutions of the fractional
reaction-diffusion equations with polynomial drift terms of arbitrary order driven by locally …

This article is concerned with the well-posedness as well as long-term dynamics of a wide
class of non-autonomous, non-local, fractional, stochastic FitzHugh-Nagumo systems driven …

In this paper we introduce the critical variational setting for parabolic stochastic evolution
equations of quasi-or semi-linear type. Our results improve many of the abstract results in …

We prove well-posedness and regularity for the stochastic pure Cahn–Hilliard equation
under homogeneous Neumann boundary conditions, with both additive and multiplicative …

We study a stochastic phase-field model for tumor growth dynamics coupling a stochastic
Cahn-Hilliard equation for the tumor phase parameter with a stochastic reaction-diffusion …

We study a large class of stochastic p-Laplace Allen-Cahn equations with singular potential.
Under suitable assumptions on the (multiplicative-type) noise we first prove existence …

Nonlinear diffusion problems featuring stochastic effects may be described by stochastic
partial differential equations of the form d α (u)− div (β 1 (∇ u)) dt+ β 0 (u) dt∋ f (u) dt+ G (u) …

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 …

Completing the analysis in Scarpa (Math Models Methods Appl Sci 30 (5): 991–1031 2020),
we investigate the well-posedness of SPDEs problems of doubly nonlinear type. These arise …

Well-posedness is proved for the stochastic viscous Cahn–Hilliard equation with
homogeneous Neumann boundary conditions and Wiener multiplicative noise. The double …