In this talk we aim to study large-time asymptotics of solutions of the KFP equation with a short-range potential in dimension one. First we summarise several known results about the free operator and then demonstrate the influence of the potential. Representation formula of the semigroup in terms of the resolvent is employed to obtain the asymptotics of solutions. In these calculations we have to find the expansion of the resolvent near the threshold of the essential spectrum.
Kramers-Fokker-Planck equation with a short-range potential
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Nom de l'orateur
Radek Novak
Etablissement de l'orateur
Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague
Jean Leray Laboratory of Mathematics, University of Nantes
Date et heure de l'exposé
Lieu de l'exposé
Salle des séminaires