A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting

Tadahiro Oh; Oana Pocovnicu

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arXiv · 1508.00826

A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting

Tadahiro Oh·Oana Pocovnicu

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Abstract

In this note, we prove almost sure global well-posedness of the energy-critical defocusing nonlinear wave equation on $\mathbb{T}^d$, $d = 3, 4,$ and $5$, with random initial data below the energy space.

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Tadahiro Oh, Oana Pocovnicu. 2015-08-04. A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting. https://arxiv.org/abs/1508.00826

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