Title : Maximal regularity for non-autonomous evolution equations
Speaker: Prof El Maati Ouhabaz
Affiliation: University of Bordeaux
Time: 15:00 Tuesday, 28 March, 2017
Location: 303-310
We consider the problem of maximal regularity for evolution equations with time dependent operators. The operators are associated with sesquilinear forms on a Hilbert space. We shall see that if the forms are $C^\alpha$ (w.r.t. time) for some $ \alpha > 1/2$ then the maximal regularity property holds. In some situations, the required regularity property can be improved but not in general. It was proved recently by S. Fackler that our condition $C^\alpha$ with $\alpha > 1/2$ cannot be improved.

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