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Published in:
2014 | OriginalPaper | Chapter
Frequency-localized interaction Morawetz inequalities and applications
Authors : Herbert Koch, Daniel Tataru, Monica Vişan
Published in: Dispersive Equations and Nonlinear Waves
Publisher: Springer Basel
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Our goal in this section is to prove a frequency-localized interaction Morawetz inequality. This will then be used to preclude the existence of almost periodic solutions as in Theorem 8.10 for which
$$\int_0^{T_{\max } } {N\left( t \right)^{ - 1} \,dt\,=\;\infty }$$
. These results appear in [40]; we review the proof below.