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arXiv · 1310.3241

On Global Solutions of a Zakharov type System

Thomas Beck·Fabio Pusateri·Philippe Sosoe·Percy Wong
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Abstract

We consider a class of wave-Schroedinger systems with a Zakharov-Schulman 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 in (0,1].

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Thomas Beck, Fabio Pusateri, Philippe Sosoe, Percy Wong. 2013-10-11. On Global Solutions of a Zakharov type System. https://arxiv.org/abs/1310.3241

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