Local and Global Well-Posedness for the Critical Schrodinger-Debye System

Adan J. Corcho, Filipe Oliveira, Jorge Drumond Silva

We establish local well-posedness results for the Initial Value Problem associated to the Schrödinger-Debye system in dimensions $N=2,3$ for data in $H^s\times H^{\ell }$, with $s$…