Includes bibliographical references.

The defocusing cubic nonlinear wave equation in the energy-supercritical regime ; Stein's extension operator on weighted Sobolev spaces on Lipschitz domains and applications to interpolation ; Multilinear Morawetz identities for the Gross-Pitaevskii hierarchy ; Elementary Proofs for Kato Smoothing Estimates of Schrodinger-like Dispersive Equations ; The conormal derivative problem for higher order elliptic systems with irregular coefficients ; Localization of eigenfunctions of a one-dimensional elliptic operator ; Scattering and blow up for the two-dimensional focusing quintic nonlinear Schrodinger equation ; Transverse stability of periodic traveling waves in Kadomtsev-Petviashvili equations: A numerical study ; Time Decay for the Solutions of a Fourth-Order Nonlinear Schrodinger Equation ; Self-adjoint realizations of Schrodinger operators on vector bundles over Riemannian manifolds ; Spectral properties of the reflection operator in two dimensions ; Recent local and global solutions to the Lagrangian Averaged Navier-Stokes equation ; Recent works on the Strauss conjecture ; Wave operators for nonlinear wave equations with null structures ; Fractional regularity for nonlinear Schrodinger equations with magnetic fields Aynur Bulut ; Kevin Brewster, Irina Mitrea and Marius Mitrea ; T. Chen, N. Pavlovic and N. Tzirakis ; Xuwen Chen ; Hongjie Dong and Doyoon Kim ; Marcel Filoche, Svitlana Mayboroda and Brandon Patterson ; Cristi Guevara and Fernando Carreon ; Christian Klein and Christof Sparber ; Jeng-Eng Lin ; Ognjen Milatovic ; Irina Mitrea, Katharine Ott and Eric Stachura ; Nathan Pennington ; Chengbo Wang and Xin Yu ; Dong Li and Xiaoyi Zhang ; Shijun Zheng