We prove the existence of a unique global strong solution for a stochastic two-dimensional
Euler vorticity equation for incompressible flows with noise of transport type. In particular, we …

We formulate a class of stochastic partial differential equations based on Kelvin's circulation
theorem for ideal fluids. In these models, the velocity field is randomly transported by white …

We consider the stochastic thin-film equation with colored Gaussian Stratonovich noise in
one space dimension and establish the existence of nonnegative weak (martingale) …

The notes are an overview of the theory of pathwise weak solutions of two classes of scalar
fully nonlinear first-and second-order degenerate parabolic partial differential equations with …

In this paper we establish the optimal regularity estimates for the Cauchy problem of
stochastic kinetic equations with random coefficients in anisotropic Besov spaces. As …

We discuss L_p L p-estimates for finite difference schemes approximating parabolic,
possibly degenerate, SPDEs, with initial conditions from W^ m_p W pm and free terms taking …

On $$L_p$$ -solvability of stochastic integro-differential equations | Stochastics and Partial
Differential Equations: Analysis and Computations Skip to main content SpringerLink Log in …

In this article we present a way of treating stochastic partial differential equations with
multiplicative noise by rewriting them as stochastically perturbed evolutionary equations in …

We prove a priori estimates in L∞ for a class of quasilinear stochastic partial differential
equations. The estimates are obtained independently of the ellipticity constant ε and thus …

We prove the existence and uniqueness of solutions of degenerate linear stochastic
evolution equations driven by jump processes in a Hilbert scale using the variational …