### Abstract

We prove the global existence of analytic solutions to the Cauchy problem for nonlinear Schrödinger equations in two dimensions, where the nonlinearity behaves as a cubic power at the origin and the Cauchy data are small and decay exponentially at infinity.

Original language | English |
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Pages (from-to) | 609-618 |

Number of pages | 10 |

Journal | Osaka Journal of Mathematics |

Volume | 51 |

Issue number | 3 |

Publication status | Published - 2014 Jul 1 |

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Hoshino, G., & Ozawa, T. (2014). Analytic smoothing effect for nonlinear schrödinger equation in two space dimensions.

*Osaka Journal of Mathematics*,*51*(3), 609-618.