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Long-time Strichartz estimates and applications

  • Herbert Koch
  • Daniel Tataru
  • Monica Vişan
Chapter
Part of the Oberwolfach Seminars book series (OWS, volume 45)

Abstract

In this section, we prove a long-time Strichartz inequality for solutions to (8.15) as described in Theorem 8.10. This will then be used to rule out rapid frequency cascade solutions, namely, solutions which also satisfy
$$ \int_0^{T_{\max } } {N\left( t \right)^{ - 1} \,dt\,<\;\infty }. $$

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Copyright information

© Springer Basel 2014

Authors and Affiliations

  • Herbert Koch
    • 1
  • Daniel Tataru
    • 2
  • Monica Vişan
    • 3
  1. 1.Institute of MathematicsUniversity of BonnBonnGermany
  2. 2.Department of MathematicsUniversity of CaliforniaBerkeleyUSA
  3. 3.Department of MathematicsUniversity of CaliforniaLos AngelesUSA

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