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math.AP2018
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…
math.AP2016
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…