A new proof of existence of solutions for focusing and defocusing Gross-Pitaevskii hierarchies

Details A new proof of existence of solutions for focusing and defocusing Gross-Pitaevskii hierarchies A new proof of existence of solutions for focusing and defocusing Gross-Pitaevskii hierarchies

2009-06-17

arxiv.org/abs/0906.3277v2

Physics

Mathematical Physics

AMS Latex, 14 pages. Title changed, major revision. This preprint replaces a previous version which contained an error in Prop

Scientific paper

We consider the cubic and quintic Gross-Pitaevskii (GP) hierarchies in
$d\geq1$ dimensions, for focusing and defocusing interactions. We present a new
proof of existence of solutions that does not require the a priori bound on the
spacetime norm, which was introduced in the work of Klainerman and Machedon,
\cite{klma}, and used in our earlier work, \cite{chpa2}.

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