5 papers
Boundary values of holomorphic semigroups and fractional integration
Omar EL-Mennaoui, Valentin Keyantuo, Ahmed Sani
The concept of boundary values of holomorphic semigroups in a general Banach space is studied. As an application, we consider the Riemann-Liouville semigroup of integration operato…
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…
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…
Spectral decomposition and Gelfand's theorem
A. Driouich, O. El-Mennaoui, M. Jazar
In this paper we are interested in spectral decomposition of an unbounded operator with discrete spectrum. We show that if generates a polynomially bounded -times integrated…