## Osaka Journal of Mathematics

- Osaka J. Math.
- Volume 42, Number 4 (2005), 737-750.

### Analytic smoothing effect for solutions to Schrödinger equations with nonlinearity of integral type

T. Ozawa, K. Yamauchi, and Y. Yamazaki

#### 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.

#### Article information

**Source**

Osaka J. Math., Volume 42, Number 4 (2005), 737-750.

**Dates**

First available in Project Euclid: 21 July 2006

**Permanent link to this document**

https://projecteuclid.org/euclid.ojm/1153494549

**Mathematical Reviews number (MathSciNet)**

MR2195991

**Zentralblatt MATH identifier**

1095.35045

#### Citation

Ozawa, T.; Yamauchi, K.; Yamazaki, Y. Analytic smoothing effect for solutions to Schrödinger equations with nonlinearity of integral type. Osaka J. Math. 42 (2005), no. 4, 737--750. https://projecteuclid.org/euclid.ojm/1153494549