Mirela Kohr
Babeş-Bolyai University, Cluj-Napoca, Romania

We study the Stokes operator on a manifold with cylindrical ends. In the process, we prove 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 nonnegative order. We also describe the construction of the corresponding Stokes layer potentials. Joint work with Victor Nistor (Metz) and Wolfgang L. Wendland (Stuttgart).