### Abstract

We study analytic smoothing effects for solutions to the Cauchy problem for the Schrödinger equation with interaction described by the integral of the intensity with respect to one direction in two space dimensions. The only assumption on the Cauchy data is the weight condition of exponential type and no regularity assumption is imposed.

Original language | English |
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Pages (from-to) | 737-750 |

Number of pages | 14 |

Journal | Osaka Journal of Mathematics |

Volume | 42 |

Issue number | 4 |

Publication status | Published - 2005 Dec 1 |

Externally published | Yes |

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Ozawa, T., Yamauchi, K., & Yamazaki, Y. (2005). Analytic smoothing effect for solutions to schrödinger equations with nonlinearity of integral type.

*Osaka Journal of Mathematics*,*42*(4), 737-750.