Dispersive estimates for the wave equation outside a cylinder in R3, F.Iandoli and O. Ivanovici
preprint 2022
Abstract : We consider the wave equation with Dirichlet boundary conditions in the exterior of a cylinder in R3 and we construct a sharp global in time parametrix to derive sharp dispersive estimates for all frequencies (low and high) and, as a corollary Strichartz estimates matching the R3 case.