A remark on the Schrödinger smoothing effect with confining potential

Laurent Thomann (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

We prove the equivalence between the smoothing effect for a Schrödinger operator with confining potential and the decay of the associate spectral projectors.

Mots clés: Schrödinger equation; potential; smoothing effect

Domaines: Equations aux dérivées partielles [math.AP]

Laurent Thomann. A remark on the Schrödinger smoothing effect with confining potential. 2009. ⟨hal-00422424v1⟩