Non-autonomous right and left multiplicative perturbations and maximal regularity

Mahdi Achache, El Maati Ouhabaz

We consider the problem of maximal regularity for non-autonomous Cauchy problems $u^{\prime }(t)+B(t)A(t)u(t)+P(t)u(t)=f(t),u(0)=u_0$ and $u'(t) + A(t)B(t)u(t) + P(t)u(t) = f (t),…