Sharp spherically averaged Strichartz estimates for the Schrödinger equation

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Abstract

We prove generalized Strichartz estimates with weaker angular integrability for the Schrödinger equation. Our estimates are sharp except some endpoints. Then we apply these new estimates to prove scattering for the 3D Zakharov system with small data in the energy space with low angular regularity. Our results improve the results obtained recently in Guo Z et al (2014 Generalized Strichartz estimates and scattering for 3D Zakharov system Commun. Math.Phys. 331 239–59).
Original languageEnglish
Pages (from-to)1668-1686
Number of pages19
JournalNonlinearity
Volume29
Issue number5
DOIs
Publication statusPublished - 5 Apr 2016

Keywords

  • Schrodinger equation
  • Strichartz estimates
  • Zakharov system

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