GLOBAL SOLUTIONS FOR 3D NONLOCAL GROSS-PITAEVSKII EQUATIONS WITH ROUGH DATA

被引：0

作者：

Pecher, Hartmut ^{[1
]}

机构：

[1] Berg Univ Wuppertal, Fachbereich Math & Naturwissensch, D-42097 Wuppertal, Germany

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

Gross-Pitaevskii equation; global well-posedness; Fourier restriction norm method; NONLINEAR SCHRODINGER-EQUATIONS; CAUCHY-PROBLEM; BOSE CONDENSATE; MOTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Cauchy problem for the Gross-Pitaevskii equation with a nonlocal interaction potential of Hartree type in three space dimensions. If the potential is even and positive definite or a positive function and its Fourier transform decays sufficiently rapidly the problem is shown to be globally well-posed for large rough data which not necessarily have finite energy and also in a situation where the energy functional is not positive definite. The proof uses a suitable modification of the I-method.

引用

页数：34

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