SMOOTHING PROPERTY FOR THE L-2-CRITICAL HIGH-ORDER NLS II

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS（2019）

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摘要

The paper reconsiders the issue of the regularity of the Duhamel part of the solution to the L-2-critical high-order NLS already studied by the authors in [4]. This model includes the mass critical 4D fourth order NLS. The improvement is due to the use of a more sophisticated space involving a nonlinear term and taking profit of a suitable trilinear Strichartz estimate.

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关键词

High-order NLS,smoothing effect,trilinear Strichartz estimates

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