The Wk, p-Continuity of the Schrödinger Wave Operators on the Line
- Cite this article as:
- Weder, R. Comm Math Phys (1999) 208: 507. doi:10.1007/s002200050767
We prove that the wave operators for the Schrödinger equation on the line are continuous on the Sobolev spaces Wk, p, 1 < p < ∞. Moreover, if the potential is exceptional and \(\), where f1(x, 0) is a Jost solution at zero energy, the wave operators are continuous on Wk,1 and on Wk,∞.