Date/heure
4 octobre 2024
11:00 - 12:00
Oratrice ou orateur
Mirela Kohr (Faculty of Mathematics and Computer Science Babeş-Bolyai University, Cluj-Napoca, Roumanie)
Catégorie d'évènement Séminaire EDP, Analyse et Applications (Metz)
Résumé
We study the Laplace and Stokes operators on a manifold with straight cylindrical ends.
We obtain useful Fredholm, regularity, and invertibility results. An important role is played by an adapted pseudodifferential calculus on manifolds with straight cylindrical ends which contains the inverses of its $L^2$-invertible, elliptic operators of non-negative order.
We also obtain the layer potentials for the elliptic operators studied, and the well-posedness of the corresponding Dirichlet problem.
Joint work with Victor Nistor (Metz) and Wolfgang L. Wendland (Stuttgart).