Qualitative Properties of Dispersive PDEs

<p>Part I: Long-time behavior of NLS-type equations.- 1 Scipio Cuccagna, Note on small data soliton selection for nonlinear Schrödinger equations with potential.- 2 Jacopo Bellazzini and Luigi Forcella, Dynamics of solutions to the Gross-Pitaevskii equation describing dipolar Bose-Einstein condensates.- Part II: Probabilistic and nonstandard methods in the study of NLS equations.- 3 Renato Luca, Almost sure pointwise convergence of the cubic nonlinear Schrödinger equation on T^2.- 4 Nevena Dugandžija and Ivana Vojnović, Nonlinear Schrödinger equation with singularities.- Part III: Dispersive properties.- 5&nbsp;Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone, Schrödinger flow's dispersive estimates in a regime of re-scaled potentials.- 6 Federico Cacciafesta, Eric Sere, Junyong Zhang, Dispersive estimates for the Dirac-Coulomb equation.- 7&nbsp;Matteo Gallone, Alessandro Michelangeli, Eugenio Pozzoli, Heat equation with inverse-square potential of bridging type across twohalf-lines.- Part IV: Wave and Kdv-type equations.- 8&nbsp;Felice Iandoli, On the Cauchy problem for quasi-linear Hamiltonian KdV-type equations.- 9 Vladimir Georgiev and Sandra Lucente, Linear and nonlinear interaction for wave equations with time variable coefficients.- 10&nbsp;Matteo Gallone and Antonio Ponno, Hamiltonian field theory close to the wave equation: from Fermi-Pasta-Ulam to water waves.</p><div><br></div>