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.
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页数：34
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