### 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 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Osaka Journal of Mathematics*,

*42*(4), 737-750.

**Analytic smoothing effect for solutions to schrödinger equations with nonlinearity of integral type.** / Ozawa, Tohru; Yamauchi, K.; Yamazaki, Y.

Research output: Contribution to journal › Article

*Osaka Journal of Mathematics*, vol. 42, no. 4, pp. 737-750.

}

TY - JOUR

T1 - Analytic smoothing effect for solutions to schrödinger equations with nonlinearity of integral type

AU - Ozawa, Tohru

AU - Yamauchi, K.

AU - Yamazaki, Y.

PY - 2005/12

Y1 - 2005/12

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33644534164&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33644534164&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33644534164

VL - 42

SP - 737

EP - 750

JO - Osaka Journal of Mathematics

JF - Osaka Journal of Mathematics

SN - 0030-6126

IS - 4

ER -