On the Unboundedness of Higher Regularity Sobolev Norms of Solutions for the Critical Schrödinger-Debye System with Vanishing Relaxation Delay

Adán J. Corcho, Jorge Drumond Silva

We consider the Schrödinger-Debye system in ${\mathbb{R}}^n$, for $n=3,4$. Developing on previously known local well-posedness results, we start by establishing global well-posedness…