doi:

DOI: 10.3724/SP.J.1160.2013.00291

Acta Analysis Functionalis Applicata (应用泛函分析学报) 2013/15:4 PP.291-305

Local Well-posedness for Gross-Pitaevskii Hierarchies


Abstract:
We consider the Cauchy problem for the Gross-Pitaevskii infinite linear hierarchy of equations on R~n.By introducing a(F)-norm in certain Sobolev type spaces of sequences of marginal density matrices,we establish local existence,uniqueness and stability of solutions.Explicit spacetime type estimates for the solutions are obtained as well.In particular,this(F)-norm is compatible with the usual Sobolev space norm whenever the initial data is factorized.

Key words:Gross-Pitaevskii hierarchy,Cauchy problem,local well-posedness

ReleaseDate:2015-04-21 14:22:06



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