Strichartz inequality for orthonormal functions

Rupert L. Frank, Mathieu Lewin, Elliott H. Lieb, Robert Seiringer

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


We prove a Strichartz inequality for a system of orthonormal functions, with an optimal behavior of the constant in the limit of a large number of functions. The estimate generalizes the usual Strichartz inequality, in the same fashion as the Lieb-Thirring inequality generalizes the Sobolev inequality. As an application, we consider the Schrödinger equation with a time-dependent potential and we show the existence of the wave operator in Schatten spaces.

Original languageEnglish (US)
Pages (from-to)1507-1526
Number of pages20
JournalJournal of the European Mathematical Society
Issue number7
StatePublished - 2014

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


  • Dispersive estimates
  • Strichartz inequality for orthonormal functions
  • Trace ideals
  • Wave operators


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