52 citations · 52 across the 3 of their papers we have counts for
5 papers
Existence, uniqueness and regularity for a class of semilinear stochastic Volterra equations with multiplicative noise
Boris Baeumer, Matthias Geissert, Mihaly Kovacs
We consider a class of semilinear Volterra type stochastic evolution equation driven by multiplicative Gaussian noise. The memory kernel, not necessarily analytic, is such that the…
A non-autonomous model problem for the Oseen-Navier-Stokes flow with rotating effects
Matthias Geissert, Tobias Hansel
Consider the Navier-Stokes flow past a rotating obstacle with a general time-dependent angular velocity and a time-dependent outflow condition at infinity. After rewriting the prob…
--regularity for parabolic operators with unbounded time--dependent coefficients
Matthias Geissert, Luca Lorenzi, Roland Schnaubelt
We establish the maximal regularity for nonautonomous Ornstein-Uhlenbeck operators in -spaces with respect to a family of invariant measures, where . This re…
Asymptotic behavior and hypercontractivity in nonautonomous Ornstein-Uhlenbeck equations
Matthias Geissert, Alessandra Lunardi
In this paper we investigate a class of nonautonomous linear parabolic problems with time depending Ornstein-Uhlenbeck operators. We study the asymptotic behavior of the associated…
Invariant Measures and Maximal L^2 Regularity for Nonautonomous Ornstein-Uhlenbeck Equations
Matthias Geissert, Alessandra Lunardi
We characterize the domain of the realization of the linear parabolic operator Gu := u_t + L(t)u (where, for each real t, L(t) is an Ornstein-Uhlenbeck operator), in L^2 spaces wit…