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期刊论文
The energy-critical nonlinear wave equation with an inverse-square potential
Ann. Inst. Henri Poincare-Nonlinear Analysis,2020,37(2):417-456 | 2020年03月01日 | 10.1016/j.anihpc.2019.09.004
We study the energy-critical nonlinear wave equation in the presence of an inverse-square potential in dimensions three and four. In the defocussingcase, 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.
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