Scattering theory for subcritical wave equation with inverse square potential
Analysis of PDEs
2024-04-23 v3
Abstract
We consider the scattering theory for the defocusing energy subcritical wave equations with an inverse square potential. By employing the energy flux method we establish energy flux estimates on the light cone. Then by the characteristic line method and radiation theorem, we show that the radial finite-energy solutions scatter to free waves outside of light cones. Using Morawetz estimates we then obtain the scattering theory for radial solutions with finite weighted energy initial data.
Keywords
Cite
@article{arxiv.2005.14459,
title = {Scattering theory for subcritical wave equation with inverse square potential},
author = {Changxing Miao and Ruipeng Shen and Tengfei Zhao},
journal= {arXiv preprint arXiv:2005.14459},
year = {2024}
}
Comments
Revised version. Published in Selecta Math. (N.S.)