Special Session 53: Mathematical Theory on the Klein-Gordon Equation and Related Models

Scattering for defocusing energy sub-critical wave equation with inverse square potential

Baoping Liu
Peking University
Peoples Rep of China
Co-Author(s):    Haiming Du
Abstract:
We consider the defocusing energy sub-critical nonlinear wave equation with inverse square potential, and prove global wellposedness and scattering for radial data lying in critical Sobolev space. The main ingredients for our proof include the Fourier truncation method, the hyperbolic coordinate transformation, and the radial endpoint Strichartz estimate for wave equations with potential of critical decay.