## Differential and Integral Equations

### Bilinear local smoothing estimate for Airy equation

#### Abstract

In this short note, we prove a refinement of bilinear local smoothing estimates of Airy solutions, when the frequency support of two wave are separated. As an application we prove a smoothing property of a bilinear form.

#### Article information

Source
Differential Integral Equations, Volume 25, Number 1/2 (2012), 75-83.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356012826

Mathematical Reviews number (MathSciNet)
MR2906547

Zentralblatt MATH identifier
1249.35288

Subjects
Primary: 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10]

#### Citation

Kwon, Soonsik; Roy, Tristan. Bilinear local smoothing estimate for Airy equation. Differential Integral Equations 25 (2012), no. 1/2, 75--83. https://projecteuclid.org/euclid.die/1356012826