In this paper, we obtain the existence of random attractors for a class of evolution equations driven by a geometric fractional Brownian rough path with Hurst index $H\in(\frac{1}{3},\frac{1}{2}]$ and establish the upper semi-continuity of random attractors $\mathcal{A}_{\eta}$ for the approximated systems of the evolution equations
AbstractIn this paper, we consider a class of stochastic partial differential equations (SPDEs) driv...
27 pagesInternational audienceWe analyze common lifts of stochastic processes to rough paths/rough d...
In this article, we consider the stochastic wave equation in spatial dimension $d=1$, with linear t...
This paper is devoted to the smooth and stationary Wong-Zakai approximations for a class of rough di...
The main goal of this article is to prove the existence of a random attractor for a stochastic evolu...
We investigate the pathwise well-posedness of stochastic evolution equations perturbed by multiplica...
In this paper we consider a class of nonlinear stochastic partial differential equations (SPDEs) dr...
AbstractThe existence of random attractors for a large class of stochastic partial differential equa...
In this thesis we consider Stochastic Evolution Equations driven by rough paths. The first aim is to...
Gess B, Liu W, Röckner M. Random attractors for a class of stochastic partial differential equations...
We consider the stochastic evolution equation du = Audt + G(u)dω, u(0) = u0 in a separable Hilbert s...
Abstract Unique existence of solutions to porous media equations driven by continuous linear multipl...
Kuehn C, Neamtu A-A, Sonner S. Random attractors via pathwise mild solutions for stochastic paraboli...
In this paper we show, by using dyadic approximations, the existence of a geometric rough path assoc...
The Wong-Zakai theorem asserts that ODEs driven by "reasonable" (e.g. piecewise linear) approximatio...
AbstractIn this paper, we consider a class of stochastic partial differential equations (SPDEs) driv...
27 pagesInternational audienceWe analyze common lifts of stochastic processes to rough paths/rough d...
In this article, we consider the stochastic wave equation in spatial dimension $d=1$, with linear t...
This paper is devoted to the smooth and stationary Wong-Zakai approximations for a class of rough di...
The main goal of this article is to prove the existence of a random attractor for a stochastic evolu...
We investigate the pathwise well-posedness of stochastic evolution equations perturbed by multiplica...
In this paper we consider a class of nonlinear stochastic partial differential equations (SPDEs) dr...
AbstractThe existence of random attractors for a large class of stochastic partial differential equa...
In this thesis we consider Stochastic Evolution Equations driven by rough paths. The first aim is to...
Gess B, Liu W, Röckner M. Random attractors for a class of stochastic partial differential equations...
We consider the stochastic evolution equation du = Audt + G(u)dω, u(0) = u0 in a separable Hilbert s...
Abstract Unique existence of solutions to porous media equations driven by continuous linear multipl...
Kuehn C, Neamtu A-A, Sonner S. Random attractors via pathwise mild solutions for stochastic paraboli...
In this paper we show, by using dyadic approximations, the existence of a geometric rough path assoc...
The Wong-Zakai theorem asserts that ODEs driven by "reasonable" (e.g. piecewise linear) approximatio...
AbstractIn this paper, we consider a class of stochastic partial differential equations (SPDEs) driv...
27 pagesInternational audienceWe analyze common lifts of stochastic processes to rough paths/rough d...
In this article, we consider the stochastic wave equation in spatial dimension $d=1$, with linear t...