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2017 A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting
Tadahiro Oh, Oana Pocovnicu
Tohoku Math. J. (2) 69(3): 455-481 (2017). DOI: 10.2748/tmj/1505181626

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.

Citation

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Tadahiro Oh. Oana Pocovnicu. "A remark on almost sure global well-posedness of the energy-critical defocusing nonlinear wave equations in the periodic setting." Tohoku Math. J. (2) 69 (3) 455 - 481, 2017. https://doi.org/10.2748/tmj/1505181626

Information

Published: 2017
First available in Project Euclid: 12 September 2017

zbMATH: 06814879
MathSciNet: MR3695994
Digital Object Identifier: 10.2748/tmj/1505181626

Subjects:
Primary: 35L05
Secondary: 35L71

Keywords: almost sure global existence , finite speed of propagation , Nonlinear wave equation , probabilistic well-posedness

Rights: Copyright © 2017 Tohoku University

Vol.69 • No. 3 • 2017
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