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On global solutions of a Zakharov type system

Author(s): Beck, Thomas; Pusateri, Fabio Giuseppe; Sosoe, Phil; Wong, Percy

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dc.contributor.authorBeck, Thomas-
dc.contributor.authorPusateri, Fabio Giuseppe-
dc.contributor.authorSosoe, Phil-
dc.contributor.authorWong, Percy-
dc.identifier.citationBeck, Thomas, Pusateri, Fabio, Sosoe, Phil, Wong, Percy. (2015). On global solutions of a Zakharov type system. NONLINEARITY, 28 (3419 - 3441. doi:10.1088/0951-7715/28/9/3419en_US
dc.description.abstractWe consider a class of wave-Schrodinger systems in three dimensions with a Zakharov-type coupling. This class of systems is indexed by a parameter gamma which measures the strength of the null form in the nonlinearity of the wave equation. The case gamma = 1 corresponds to the well-known Zakharov system, while the case gamma = -1 corresponds to the Yukawa system. Here we show that sufficiently smooth and localized Cauchy data lead to pointwise decaying global solutions which scatter, for any gamma is an element of (0, 1].en_US
dc.format.extent3419 - 3441en_US
dc.rightsAuthor's manuscripten_US
dc.titleOn global solutions of a Zakharov type systemen_US
dc.typeJournal Articleen_US

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