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arXiv · 0906.3277

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

Thomas Chen·Nataša Pavlović
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Abstract

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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Thomas Chen, Nataša Pavlović. 2010-12-11. A new proof of existence of solutions for focusing and defocusing Gross-Pitaevskii hierarchies. https://arxiv.org/abs/0906.3277

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