Oscillatory integral estimates and global well-posedness for the 2D Boussinesq equation

被引：0

作者：

Luiz Gustavo Farah

Frederic Rousset

Nikolay Tzvetkov

机构：

[1] Universidade Federal de Minas Gerais,Departamento de Matemática

[2] IRMAR Université de Rennes 1,Département de Mathématiques

[3] Université Cergy-Pontoise UMR CNRS8088,undefined

来源：

Bulletin of the Brazilian Mathematical Society, New Series | 2012年 / 43卷

关键词：

multidimensional oscillatory integral; 2D Boussinesq equation; global well-posedness; 35Q53; 35B30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove a multidimensional oscillatory integral estimate using a variant ofthestationaryphasemethod. Asaconsequence, weobtainglobalwell-posednessfor small data for the 2D Boussinesq equation utt + (uxx + u2 − u)xx − uyy = 0.

引用

页码：655 / 679

页数：24

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