ISSN: 1314-3344

Global well-posedness for Gross-Pitaevskii hierarchies

Abstract

Chuangye Liu and Minmin Liu

The purpose of this paper is to establish the global well-posedness of solutions to Gross-Pitaevskii (GP) infinite linear hierarchy of equations on R n , n ≥ 1. More precisely, by introducing a suitable solution space H α ξ with ξ > 1 we prove that there exists a unique global solution to the GP hierarchy. In particular, the solution can belong to the space that of the initial data. In this respect, it is new.

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