A remark on the Schrödinger smoothing effect

Laurent Thomann (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

We prove the equivalence between the smoothing effect for a Schrödinger operator and the decay of the associate spectral projectors. We give two applications to the Schrödinger operator in dimension one.

Mots clés: Schrödinger equation; potential; smoothing effect

Domaines: Equations aux dérivées partielles [math.AP]

Laurent Thomann. A remark on the Schrödinger smoothing effect. Asymptotic Analysis, 2010, 69 (1-2), pp.117--123. ⟨hal-00422424v2⟩