11-98 Thomas Chen, Natasa Pavlovic

A new proof of existence of solutions for focusing and defocusing Gross-Pitaevskii hierarchies (431K, pdf) 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.

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