The purpose of this paper is to investigate the Cauchy problem for the
Gross-Pitaevskii infinite linear hierarchy of equations on Rn,n≥1. We prove local existence and uniqueness of solutions in certain
Sobolev type spaces Hξα of sequences of marginal
density operators with α>n/2. In particular, we give a clear
discussion of all cases α>n/2, which covers the local well-posedness
problem for Gross-Pitaevskii hierarchy in this situation.Comment: 17 pages. The referee's comments and suggestions have been
incorporated into this version of the pape