Unconditional global well-posedness for the 3D Gross-Pitaevskii equation for data without finite energy

被引：0

作者：

Hartmut Pecher

机构：

[1] Bergische Universität Wuppertal,Fachbereich Mathematik und Naturwissenschaften

来源：

Nonlinear Differential Equations and Applications NoDEA | 2013年 / 20卷

关键词：

35Q55; 35B60; 37L50; Gross-Pitaevskii equation; Global well-posedness; Fourier restriction norm method;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The Cauchy problem for the Gross-Pitaevskii equation in three space dimensions is shown to have an unconditionally unique global solution for data of the form 1 + Hs for 5/6 < s < 1, which do not have necessarily finite energy. The proof uses the I-method which is complicated by the fact that no L2-conservation law holds. This shows that earlier results of Bethuel-Saut for data of the form 1 + H1 and Gérard for finite energy data remain true for this class of rough data.

引用

页码：1851 / 1877

页数：26

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