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Generalized Strichartz Estimates and Scattering for 3D Zakharov System

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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 L 2 angular integrability.

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Authors and Affiliations

  1. LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, China

    Zihua Guo

  2. Department of Mathematical Sciences, Seoul National University, Seoul, 151-747, Korea

    Sanghyuk Lee

  3. Department of Mathematics, Kyoto University, Kyoto, 606-8502, Japan

    Kenji Nakanishi

  4. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China

    Chengbo Wang

Authors
  1. Zihua Guo
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  2. Sanghyuk Lee
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  3. Kenji Nakanishi
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  4. Chengbo Wang
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Correspondence to Zihua Guo.

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Communicated by W. Schlag

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Guo, Z., Lee, S., Nakanishi, K. et al. Generalized Strichartz Estimates and Scattering for 3D Zakharov System. Commun. Math. Phys. 331, 239–259 (2014). https://doi.org/10.1007/s00220-014-2006-0

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