# The global well-posedness and scattering for the 5-dimensional defocusing conformal invariant NLW with radial initial data in a critical Besov space

@article{Miao2018TheGW,
title={The global well-posedness and scattering for the
5-dimensional defocusing conformal invariant NLW with radial initial data in a
critical Besov space},
author={Changxing Miao and Jianwei Yang and Tengfei Zhao},
journal={arXiv: Analysis of PDEs},
year={2018}
}
• Published 7 February 2018
• Mathematics, Physics
• arXiv: Analysis of PDEs
In this paper, we obtain the global well-posedness and scattering for the radial solution to the defocusing conformal invariant nonlinear wave equation with initial data in the critical Besov space $\dot{B}^3_{1,1}\times\dot{B}^2_{1,1}(\mathbb{R}^5)$. This is the five dimensional analogue of \cite{dodson-2016}, which is the first result on the global well-posedness and scattering of the energy subcritical nonlinear wave equation without the uniform boundedness assumption on the critical Sobolev…
2 Citations
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