9 citations · 12 across the 10 of their papers we have counts for
11 papers
Well-posedness of infinite-dimensional non-autonomous passive boundary control systems
Birgit Jacob, Hafida Laasri
We study a class of non-autonomous boundary control and observation linear systems that are governed by non-autonomous multiplicative perturbations. This class is motivated by diff…
Ultracontractivity and Gaussian bounds for evolution families associated with non-autonomous forms
Hafida Laasri, Delio Mugnolo
We develop a variational approach in order to study the qualitative properties of non-autonomous parabolic equations. Based on the method of product integrals, we discuss long-time…
Exponential stability for infinite-dimensional non-autonomous port-Hamiltonian Systems
Björn Augner, Hafida Laasri
We study the non-autonomous version of an infinite-dimensional port-Hamiltonian system on an interval . Employing abstract results on evolution families, we show -well…
On the norm-continuity for evolution family arising from non-autonomous forms
El-Mennaoui Omar, Hafida Laasri
We consider evolution equations of the form \begin{equation*}\label{Abstract equation} \dot u(t)+ A(t)u(t)=0,\ \ t\in[0,T],\ \ u(0)=u_0, \end{equation*} where …
Stability for evolution equations governed by a non-autonomous form
Omar EL-Mennaoui, Hafida Laasri
This paper deals with the approximation of non-autonomous evolution equations of the form \begin{equation*}\label{Abstract equation} \dot u(t)+A(t)u(t)=f(t)\ \ t\in[0,T],\ \ u(0)=u…
Regularity properties for evolution family governed by non-autonomous forms
Hafida Laasri
This paper gives further regularity properties of the evolution family associated with a non-autonomous evolution equation \begin{equation*}\label{Abstract equation} \dot u(t)+A(t)…
Uniform approximation of non-autonomous evolution equations
Omar EL-Mennaoui, Hafida Laasri
We study -maximal regularity for non-autonomous evolution equations of the form \begin{equation}\label{Abstract equation} \dot u(t)+\mathcal A(t)u(t)=f(t)\ \ t\in[0,T],\ \ u(0…
On evolution equations governed by non-autonomous forms
EL-Mennaoui Omar, Laasri Hafida
We consider a linear non-autonomous evolutionary Cauchy problem \begin{equation} \dot{u} (t)+A(t)u(t)=f(t) \hbox{ for }\ \hbox{a.e. t}\in [0,T],\quad u(0)=u_0, \end{equation} where…
Evolution Equations governed by Lipschitz Continuous Non-autonomous Forms
Ahmed Sani, Hafida Laasri
We prove -maximal regularity of linear non-autonomous evolutionary Cauchy problem \begin{equation}\label{eq00}\nonumber \dot{u} (t)+A(t)u(t)=f(t) \hbox{ for }\ \hbox{a.e. t}\i…
On the right multiplicative perturbation of non-autonomous -maximal regularity
Björn Augner, Birgit Jacob, Hafida Laasri
This paper is devoted to the study of -maximal regularity for non-autonomous linear evolution equations of the form \begin{equation*}\label{Multi-pert1-diss-non} \dot u(t)+A(t…
Maximal Regularity for Evolution Equations Governed by Non-Autonomous Forms
Wolfgang Arendt, Dominik Dier, Hafida Laasri +1
\begin{abstract}\label{abstract} We consider a non-autonomous evolutionary problem \[ \dot{u} (t)+\A(t)u(t)=f(t), \quad u(0)=u_0 \] where the operator $\A(t):V\to V^\prime$ is asso…