Now in its second edition, this book gives a systematic and self-contained presentation of
basic results on stochastic evolution equations in infinite dimensional, typically Hilbert and …

Consider stochastic partial differential equations (SPDEs) with fully local monotone
coefficients in a Gelfand triple V⊆ H⊆ V∗: d X (t)= A (t, X (t)) dt+ B (t, X (t)) d W (t), t∈(0, T], X …

In this paper we prove the well-posedness of the generalized Dean–Kawasaki equation
driven by noise that is white in time and colored in space. The results treat diffusion …

We study quasilinear degenerate parabolic-hyperbolic stochastic partial differential
equations with general multiplicative noise within the framework of kinetic solutions. Our …

The convergence of stochastic interacting particle systems in the mean-field limit to solutions
of conservative stochastic partial differential equations is established, with optimal rate of …

In this paper we show the existence and uniqueness of strong solutions for a large class of
SPDE where the coefficients satisfy the local monotonicity and Lyapunov condition (one …

We prove the existence and uniqueness of entropy solutions for nonlinear diffusion
equations with nonlinear conservative gradient noise. As particular applications our results …

The aim of this book is to discuss random interfaces in several of their aspects. In the case
where a phase coexistence occurs, interfaces are created to separate distinct phases. We …

The dynamics of the solutions to a class of conservative SPDEs are analysed from two
perspectives: Firstly, a probabilistic construction of a corresponding random dynamical …

We provide an abstract variational existence and uniqueness result for multi-valued,
monotone, non-coercive stochastic evolution inclusions in Hilbert spaces with general …