On the Uniqueness of Solutions to the Gross-Pitaevskii Hierarchy

2007/01/03 by Sergiu Klainerman, Sergiù Klainerman, Matei Machedon · 7 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Mathematical Analysis and Transform Methods #Nonlinear Photonic Systems #math-ph #math.AP #math.MP

paper · pdf · doi:10.1007/s00220-008-0426-4

published as CMP, Volume 279, Number 1 / April, 2008

arxiv created 2007/01/03 · openalex publication_date 2008/02/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a new proof of uniqueness of solutions to the Gross-Pitaevskii hierarchy, first established by Erdos, Schlein and Yau, in a different space, based on space-time estimates.

Citations

• Space‐time estimates for null forms and the local existence theorem

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