Remark on the Kato smoothing effect for Schrödinger equation with superquadratic potentials

Luc Robbiano (1) , Claude Zuily (2)

1 LMV - Laboratoire de Mathématiques de Versailles
2 LM-Orsay - Laboratoire de Mathématiques d'Orsay

The aim of this note is to extend recent results of Yajima-Zhang \cite{Y-Z1, Y-Z2} on the $\frac{1}{2}$- smoothing effect for Schrödinger equation with potential growing at infinity faster than quadratically.

Domaines: Equations aux dérivées partielles [math.AP]

Luc Robbiano, Claude Zuily. Remark on the Kato smoothing effect for Schrödinger equation with superquadratic potentials. Communications in Partial Differential Equations, 2008, 33 (4), pp.718-727. ⟨10.1080/03605300701517861⟩. ⟨hal-00105280⟩