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math.APMay 14, 2013
23
citations (OpenAlex)
authors
  • Zihua Guo
  • Sanghyuk Lee
  • Kenji Nakanishi
  • Chengbo Wang
institutions
  • Kyoto University
  • Peking University
  • Seoul National University
  • Zhejiang University
arXiv abstractPDF
paper

Generalized Strichartz estimates and scattering for 3D Zakharov system

arXiv:1305.2990 · doi:10.1007/s00220-014-2006-0

Abstract

We obtain scattering for the 3D Zakharov system with non-radial small data in the energy space with angular regularity of degree one. The main ingredient is a generalized Strichartz estimate for the Schrödinger equation in the space of L2 angular integrability.

20 pages

References in corpus (7)

  • Convolutions of singular measures and applications to the Zakharov system
  • On the 2d Zakharov system with L^2 Schrödinger data
  • Some Remarks on Strichartz Estimates for Homogeneous Wave Equation
  • Generalized and weighted Strichartz estimates
  • Strichartz estimates for Dirichlet-wave equations in two dimensions with applications
  • Small energy scattering for the Zakharov system with radial symmetry
  • Scattering for the Zakharov system in 3 dimensions

Cited by in corpus (5)

  • Scattering for the 3D Gross-Pitaevskii equation
  • Well-posedness and scattering for the Zakharov system in four dimensions
  • The three dimensional stochastic Zakharov system
  • Generalized Inhomogeneous Strichartz estimates
  • Spherically averaged maximal function and scattering for the 2D cubic derivative Schrödinger equation
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