Scattering for the Zakharov System in 3 Dimensions

Zaher Hani, Fabio Pusateri, Jalal Shatah

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


We prove global existence and scattering for small localized solutions of the Cauchy problem for the Zakharov system in 3 space dimensions. The wave component is shown to decay pointwise at the optimal rate of t -1, whereas the Schrödinger component decays almost at a rate of t -7/6.

Original languageEnglish (US)
Pages (from-to)731-753
Number of pages23
JournalCommunications In Mathematical Physics
Issue number3
StatePublished - Sep 2013

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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