The energy-critical nonlinear wave equation with an inverse-square potential
Analysis of PDEs
2020-06-23 v1
Abstract
We study the energy-critical nonlinear wave equation in the presence of an inverse-square potential in dimensions three and four. In the defocusing case, we prove that arbitrary initial data in the energy space lead to global solutions that scatter. In the focusing case, we prove scattering below the ground state threshold.
Keywords
Cite
@article{arxiv.1808.08571,
title = {The energy-critical nonlinear wave equation with an inverse-square potential},
author = {Changxing Miao and Jason Murphy and Jiqiang Zheng},
journal= {arXiv preprint arXiv:1808.08571},
year = {2020}
}
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44 pages