Scattering theory for subcritical wave equation with inverse square potential

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.

Revised version. Published in Selecta Math. (N.S.)

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Cited by in corpus (1)

• Scattering theory in homogeneous Sobolev spaces for Schrödinger and wave equations with rough potentials