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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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Abstract: We 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].
Publication Date: Sep-2015
Electronic Publication Date: 24-Aug-2015
Citation: Beck, Thomas, Pusateri, Fabio, Sosoe, Phil, Wong, Percy. (2015). On global solutions of a Zakharov type system. NONLINEARITY, 28 (3419 - 3441. doi:10.1088/0951-7715/28/9/3419
DOI: doi:10.1088/0951-7715/28/9/3419
ISSN: 0951-7715
EISSN: 1361-6544
Pages: 3419 - 3441
Type of Material: Journal Article
Journal/Proceeding Title: NONLINEARITY
Version: Author's manuscript

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