Diego Sanchez Sanz Imj-Prg

Dispersion for the wave equation with Neumann boundary condition inside general strictly convex domains

We consider the wave equation on a manifold of dimension d>1 with smooth strictly convex boundary, with Neumann boundary condition. We construct a sharp local in time parametrix for the Neumann wave equation near glancing, extending the classical Melrose-Taylor construction for the Dirichlet problem to the Neumann boun...