Corpus ID: 119602906

# On the almost sure global well-posedness of energy sub-critical nonlinear wave equations on $\mathbb{R}^3$

@article{Luhrmann2015OnTA,
title={On the almost sure global well-posedness of energy sub-critical nonlinear wave equations on \$\mathbb\{R\}^3\$},
author={Jonas Luhrmann and Dana Mendelson},
journal={arXiv: Analysis of PDEs},
year={2015}
}
• Published 3 June 2015
• Mathematics
• arXiv: Analysis of PDEs
We consider energy sub-critical defocusing nonlinear wave equations on R 3 and establish the existence of unique global solutions al- most surely with respect to a unit-scale randomization of the initial data on Euclidean space. In particular, we provide examples of initial data at super-critical regularities which lead to unique global solutions. The proof is based on probabilistic growth estimates for a new modied en-
12 Citations

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