### Abstract

We consider some scale invariant generalizations of the smoothing estimates for the free Schrödinger equation obtained by Kenig, Ponce and Vega (Ann. Inst. H. Poincaré Anal. Non Lineaire 10(3) (1993), 255-288; Invent. Math. 134(3) (1998), 489-545). Applying these estimates and using appropriate commutator estimates, we obtain similar scale invariant smoothing estimates for perturbed Schrödinger equation with small magnetic potential.

Original language | English |
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Pages (from-to) | 107-138 |

Number of pages | 32 |

Journal | Asymptotic Analysis |

Volume | 47 |

Issue number | 1-2 |

Publication status | Published - 2006 Apr 10 |

Externally published | Yes |

### Keywords

- Magnetic potential
- Schrödinger equation
- Smoothing estimates

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Georgiev, V., & Tarulli, M. (2006). Scale invariant energy smoothing estimates for the Schrödinger equation with small magnetic potential.

*Asymptotic Analysis*,*47*(1-2), 107-138.