A New Proof of Existence of Solutions for Focusing and Defocusing Gross-pitaevskii Hierarchies
نویسنده
چکیده
We consider the cubic and quintic Gross-Pitaevskii (GP) hierarchies in d ≥ 1 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, [19], and used in our earlier work, [6].
منابع مشابه
Higher Order Energy Conservation, Gagliardo- Nirenberg-sobolev Inequalities, and Global Well-posedness for Gross-pitaevskii Hierarchies
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