Sharp Constant of an Anisotropic Gagliardo-Nirenberg-Type Inequality and Applications

被引：13
|
作者：
Esfahani, Amin [1 ,2 ]
Pastor, Ademir [3 ]
机构：
[1] Damghan Univ, Sch Math & Comp Sci, Damghan 36715364, Iran
[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran 193955746, Iran
[3] IMECC UNICAMP, Rua Sergio Buarque Holanda,651,Cidade Univ, BR-13083859 Campinas, SP, Brazil
来源：
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2017年 / 48卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
Fractional Sobolev-Liouville inequality; BO-ZK equation; Gagliardo-Nirenberg inequality; ZAKHAROV-KUZNETSOV EQUATION; SCATTERING; STABILITY; DECAY;
D O I：
10.1007/s00574-016-0017-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we establish the best constant of an anisotropic GagliardoNirenberg-type inequality related to the Benjamin-Ono-Zakharov-Kuznetsov equation. As an application of our results, we prove the uniform bound of solutions for such a equation in the energy space.
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页码：171 / 185
页数：15
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