Dispersive estimates for nonlinear Schrodinger equations with external potentials

被引：4

作者：

Dietze, Charlotte ^{[1
]}

机构：

[1] Ludwig Maximilians Univ Munchen, Dept Math, Theresienstr 39, D-80333 Munich, Germany

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2021年 / 62卷 / 11期

关键词：

BOSE-EINSTEIN CONDENSATION; LONG-RANGE SCATTERING; HARTREE-EQUATIONS; TIME DECAY; ASYMPTOTICS; SOLITONS; ENERGY; VORTEX; NLS;

D O I：

10.1063/5.0055911

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the long time dynamics of nonlinear Schrodinger equations with an external potential. More precisely, we look at Hartree type equations in three or higher dimensions with small initial data. We prove an optimal decay estimate, which is comparable to the decay of free solutions. Our proof relies on good control on a high Sobolev norm of the solution to estimate the terms in Duhamel's formula.</p>

引用

页数：30

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