- 11-98 Thomas Chen, Natasa Pavlovic
- A new proof of existence of solutions for focusing and defocusing Gross-Pitaevskii hierarchies
Jun 18, 11
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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,
and used in our earlier work.