Bilinear local smoothing estimate for Airy equation

Soonsik Kwon, Tristan Roy

Type: Article

Publication Date: 2012-01-01

Citations: 1

DOI: https://doi.org/10.57262/die/1356012826

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.

Locations

Differential and Integral Equations - View - PDF
arXiv (Cornell University) - View - PDF

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Works That Cite This (1)

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+	Refinement of Strichartz Estimates for Airy Equation in Nondiagonal Case and its Application	2018	Satoshi Masaki Jun-ichi Segata

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Action	Title	Year	Authors
+	On the Cauchy Problem for the Generalized Korteweg-de Vries Equation	2003	Luc Molinet Francis Ribaud
+ PDF Chat	Inequalities for strongly singular convolution operators	1970	Charles Fefferman
+ PDF Chat	A smoothing property for the \( L^{2} \)-critical NLS equations and an application to blowup theory	2008	Sahbi Keraani Ana Vargas
+	Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle	1993	Carlos E. Kenig Gustavo Ponce Luis Vega