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

Tadahiro Oh; Oana Pocovnicu

doi:10.2748/tmj/1505181626

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 energycritical defocusing nonlinear wave equation on Td, d = 3,4, and 5, with random initial data below the energy space.

Original language	English
Pages (from-to)	455-481
Number of pages	27
Journal	Tohoku Mathematical Journal
Volume	69
Issue number	3
DOIs	https://doi.org/10.2748/tmj/1505181626
Publication status	Published - 2017

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

abstract = "In this note, we prove almost sure global well-posedness of the energycritical defocusing nonlinear wave equation on Td, d = 3,4, and 5, with random initial data below the energy space.",

author = "Tadahiro Oh and Oana Pocovnicu",

year = "2017",

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AU - Oh, Tadahiro

AU - Pocovnicu, Oana

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N2 - In this note, we prove almost sure global well-posedness of the energycritical defocusing nonlinear wave equation on Td, d = 3,4, and 5, with random initial data below the energy space.

AB - In this note, we prove almost sure global well-posedness of the energycritical defocusing nonlinear wave equation on Td, d = 3,4, and 5, with random initial data below the energy space.

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DO - 10.2748/tmj/1505181626

M3 - Article

SN - 0040-8735

VL - 69

SP - 455

EP - 481

JO - Tohoku Mathematical Journal

JF - Tohoku Mathematical Journal

IS - 3

ER -

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

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