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On the Uniqueness of Solutions to the Gross-Pitaevskii Hierarchy

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Abstract

The purpose of this note is to give a new proof of uniqueness of the Gross-Pitaevskii hierarchy, first established in [1], in a different space, based on space-time estimates similar in spirit to those of [2].

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References

  1. Erdos L., Schlein B. and Yau H.-T. (2007). Derivation of the Cubic Non-linear Schródinger equation from Quantum dynamics of Many-Body Systems. Invent. Math. 167(3): 515–614

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  2. Klainerman S. and Machedon M. (1993). Space-time estimates for null forms and the local existence theorem. Comm. Pure Appl. Math 46: 169–177

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Authors and Affiliations

  1. Department of Mathematics, Princeton University, Princeton, NJ, 08540, USA

    Sergiu Klainerman

  2. Department of Mathematics, University of Maryland, College Park, MD, 20742, USA

    Matei Machedon

Authors
  1. Sergiu Klainerman
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  2. Matei Machedon
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Corresponding author

Correspondence to Matei Machedon.

Additional information

Communicated by H.-T. Yau

The first author is supported by the NSF grant DMS-0601186.

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Klainerman, S., Machedon, M. On the Uniqueness of Solutions to the Gross-Pitaevskii Hierarchy. Commun. Math. Phys. 279, 169–185 (2008). https://doi.org/10.1007/s00220-008-0426-4

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  • DOI: https://doi.org/10.1007/s00220-008-0426-4

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