70 citations · 150 across the 39 of their papers we have counts for
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Existence and convergence results for infinite dimensional nonlinear stochastic equations with multiplicative noise
Viorel Barbu, Zdzisław Brzeźniak, Erika Hausenblas +1
The solution to a nonlinear stochastic differential equation of the form $dX_n(t)+A_n(t)X_n(t)\,dt-\tfrac12\sum_{j=1}^N(B_j^n(t))^2X_n(t)\,dt=\sum_{j=1}^N B_j^n(t)X_n(t)dβ_j^…
Controllability and Qualitative properties of the solutions to SPDEs driven by boundary Lévy noise
Erika Hausenblas, Paul Andre Razafimandimby
Let be the solution to the following stochastic evolution equation (1) du(t,x)& = &A u(t,x) dt + B σ(u(t,x)) dL(t),\quad t>0; u(0,x) = x taking values in an Hilbert space $\HH$…
On stochastic evolution equations for nonlinear bipolar fluids: well-posedness and some properties of the solution
Erika Hausenblas, Paul Andre Razafimandimby
We investigate the stochastic evolution equations describing the motion of a Non-Newtonian fluids excited by multiplicative noise of Lévy type. By making use of Galerkin approximat…
A perturbation result for quasi-linear stochastic differential equations in UMD Banach spaces
Sonja Cox, Erika Hausenblas
We consider the effect of perturbations to a quasi-linear parabolic stochastic differential equation set in a UMD Banach space . To be precise, we consider perturbations of the…