4 papers
Invariant Manifolds for Random Parabolic Evolution Equations with almost sectorial operators
M. Ghani Varzaneh, F. Z. Lahbiri, S. Riedel
In this paper, we develop a way of analyzing the random dynamics of stochastic evolution equations with a non-dense domain. Such problems cover several types of evolution equations…
Abstract Parabolic Equations with boundary white noise: an integrated semigroup approach
Arnaud Ducrot, Fatima Zahra Lahbiri
In this paper, we study the existence of solution for stochastic evolution equations with almost sectorial operators and possibly a non dense domain. Such problems cover several ty…
A semigroup approach to stochastic systems with input delay at the boundary
Said Hadd, Fatima Zahra Lahbiri
This work focuses on the well-posedness of abstract stochastic linear systems with boundary input delay and unbounded observation operators. We use product spaces and a semigroup a…
A functional analytic approach to infinite dimensional stochastic linear systems
Fatima-Zahra Lahbiri, Said Hadd
In this paper, we study infinite dimensional stochastic systems having both unbounded control and observation operators. First of all, using a semigroup approach, we give another t…