Randomization and the Gross–Pitaevskii Hierarchy

We study the Gross–Pitaevskii hierarchy on the spatial domain T[superscript 3]. By using an appropriate randomization of the Fourier coefficients in the collision operator, we prove an averaged form of the main estimate which is used in order to contract the Duhamel terms that occur in the study of...

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Bibliographic Details
Main Authors: Sohinger, Vedran, Staffilani, Gigliola
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2016
Online Access:http://hdl.handle.net/1721.1/104964
https://orcid.org/0000-0002-8220-4466