Communications in Mathematical Physics

, Volume 208, Issue 2, pp 507–520

The Wk, p-Continuity of the Schrödinger Wave Operators on the Line

  • Ricardo Weder

DOI: 10.1007/s002200050767

Cite this article as:
Weder, R. Comm Math Phys (1999) 208: 507. doi:10.1007/s002200050767

Abstract:

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,∞.

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Ricardo Weder
    • 1
  1. 1.Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, Apartado Postal 20-726, México D.F. 01000, E-mail: weder@servidor.unam.mxMX
  2. 2.Instituto de Física Rosario, CONICET, ArgentinaAR