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.
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页码：655 / 679
页数：24
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