### Abstract

The work treats smoothing and dispersive properties of solutions to the Schrödinger equation with magnetic potential. Under suitable smallness assumption on the potential involving scale invariant norms we prove smoothing - Strichartz estimate for the corresponding Cauchy problem. An application that guarantees absence of pure point spectrum of the corresponding perturbed Laplace operator is discussed too.

Original language | English |
---|---|

Pages (from-to) | 771-786 |

Number of pages | 16 |

Journal | Discrete and Continuous Dynamical Systems |

Volume | 17 |

Issue number | 4 |

Publication status | Published - 2007 Apr 1 |

### Keywords

- Schrödinger equation
- Smoothing properties
- Strichartz estimates

### ASJC Scopus subject areas

- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics

## Fingerprint Dive into the research topics of 'Smoothing - Strichartz estimates for the schrödinger equation with small magnetic potential'. Together they form a unique fingerprint.

## Cite this

Georgiev, V., Stefanov, A., & Tarulli, M. (2007). Smoothing - Strichartz estimates for the schrödinger equation with small magnetic potential.

*Discrete and Continuous Dynamical Systems*,*17*(4), 771-786.