Strong Instability of Ground States to a Fourth Order Schrodinger Equation

被引：28

作者：

Bonheure, Denis ^{[1
,2
]}

Casteras, Jean-Baptiste ^{[1
,2
]}

Gou, Tianxiang ^{[3
,4
]}

Jeanjean, Louis ^{[3
]}

机构：

[1] Univ Libre Bruxelles, Dept Math, CP 214,Blvd Triomphe, B-1050 Brussels, Belgium

[2] Equipe Mephysto, Inria Lille Nord Europe, Parc Sci Haute Borne, Pk Plaza,Batiment A 40 Ave Halley, F-59650 Villeneuve Dascq, France

[3] Univ Bourgogne Franche Comte, UMR 6623, Lab Math, 16 Route Gray, F-25030 Besancon, France

[4] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2019年 / 2019卷 / 17期

关键词：

NONLINEAR SCHRODINGER; SINGULAR SOLUTIONS; STABILITY;

D O I：

10.1093/imrn/rnx273

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we prove the instability by blow-up of the ground state solutions for a class of fourth order Schrodinger equations. This extends the first rigorous results on blowing-up solutions for the biharmonic nonlinear Schrodinger due to Boulenger and Lenzmann [8] and confirm numerical conjectures from [1-3, 11].

引用

页码：5299 / 5315

页数：17

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