Scattering for the Zakharov System in 3 Dimensions

Zaher Hani, Fabio Pusateri, Jalal Shatah

Research output: Contribution to journalArticle

Abstract

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
Volume322
Issue number3
DOIs
StatePublished - Sep 2013

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Scattering
Decay
Cauchy problem
Optimal Rates
decay
scattering
Global Existence
Cauchy Problem

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Scattering for the Zakharov System in 3 Dimensions. / Hani, Zaher; Pusateri, Fabio; Shatah, Jalal.

In: Communications in Mathematical Physics, Vol. 322, No. 3, 09.2013, p. 731-753.

Research output: Contribution to journalArticle

Hani, Zaher ; Pusateri, Fabio ; Shatah, Jalal. / Scattering for the Zakharov System in 3 Dimensions. In: Communications in Mathematical Physics. 2013 ; Vol. 322, No. 3. pp. 731-753.
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