The energy-critical nonlinear wave equation with an inverse-square potential
The energy-critical nonlinear wave equation with an inverse-square potential
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DOI：
10.1016/j.anihpc.2019.09.004
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发表时间：
2018-08
期刊：
影响因子：
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通讯作者：
C. Miao;Jason Murphy;Jiqiang Zheng
中科院分区：
文献类型：
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作者：
C. Miao;Jason Murphy;Jiqiang Zheng
We study the energy-critical nonlinear wave equation in the presence of an inverse-square potential in dimensions three and four. In the defocussing 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.
