Existence and regularity of solution for a Stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion

Unfortunately, due to the degenerate noise, we are not able to show that the approximated solutions are tight in C([0, T ] × [0, 1]; [−1, 1]) and, as consequence, we are not able

Since, in image inpainting, the image is known outside the inpainting region, we use, in the final inpainting results, the information on the image known outside the inpainting

We will start by deriving a lower bound on the expected transition time, i.e., we will prove the upper bound on the capacity (3.15) (in Section 4.1) and the lower bound on the

Key words and phrases : Cahn-Hilliard, stochastic partial differential equations, integration by parts formulae, reflection measures, invariant measures, singular nonlinearity....

Key words and phrases : Cahn-Hilliard, stochastic partial differential equations, integration by parts formulae, reflection measures, invariant measures, singular nonlinearity,

This paper addresses the analysis of a time noise-driven Allen–Cahn equation modelling the evolution of damage in continuum media in the presence of stochastic dynamics.. The

Regularity structures have been successfully applied to several other equations, including the KPZ equation [Hai13, HS17] and its generalisations to polynomial nonlinearities

mean curvature to construct local minimizers (therefore transition layer solutions) for equation (1.1).. In this paper we are concerned with solutions of (1.1) with