Talk by Lahcen Maniar
On May 24th, 2023, Lahcen Maniar (Cadi Ayyad University, Marrakesh) gave a talk about "Logaritmic convexity of semigroups and inverse problems of Ornstein-Uhlenbeck equations" as part of the research seminar Analysis of the FernUniversität in Hagen.
In this talk, we present some results on the logarithmic convexity estimate for analytic semigroups. In the case π2-analytic semigroups, there is an explicit estimate. In the general case, we give a kind of explicit estimate. This estimate is used to study initial data and source inverse problems for an observable abstract system. We illustrate our abstract result
by an application to Ornstein-Uhlenbeck equations. Recently, we considered the case of non-analytical Ornstein-Uhlenbeck equation.