Interpolation scattering for wave equations with singular potentials and singular data
Abstract
In this paper, we investigate a construction of scattering for wave-type equations with singular potentials on the whole space Rn in a framework of weak-Lp spaces. First, we use an Yamazaki-type estimate for wave groups on Lorentz spaces and fixed point arguments to prove the global well-posedness for wave-type equations on weak-Lp spaces. Then we provide a corresponding scattering results in such singular framework. Finally, we use also the dispersive estimates to establish the polynomial stability and improve the decay of scattering in weak-Lp spaces.
Fields of Study & Subjects
Advanced Mathematical Physics Problems
Numerical methods in inverse problems
Microwave Imaging and Scattering Analysis
Publication details
- Journal / source
- Applicable Analysis
- Publisher
- Informa UK Limited
- Volume
- 105
- Issue
- 15
- Pages
- 1–15
- Publication date
- 20 March 2026
- Language
- EN