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arXiv · 1507.07617

On Schrödinger systems with cubic dissipative nonlinearities of derivative type

Chunhua Li·Hideaki Sunagawa
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Abstract

Consider the initial value problem for systems of cubic derivative nonlinear Schrödinger equations in one space dimension with the masses satisfying a suitable resonance relation. We give structural conditions on the nonlinearity under which the small data solution gains an additional logarithmic decay as $t \to +\infty$ compared with the corresponding free evolution.

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Chunhua Li, Hideaki Sunagawa. 2015-07-28. On Schrödinger systems with cubic dissipative nonlinearities of derivative type. https://doi.org/10.1088/0951-7715%2F29%2F5%2F1537

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