Skip to main content
SpringerLink
Log in

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

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract:

We prove that the wave operators for the Schrödinger equation on the line are continuous on the Sobolev spaces W k, p , 1 < p < ∞. Moreover, if the potential is exceptional and , where f 1(x, 0) is a Jost solution at zero energy, the wave operators are continuous on W k ,1 and on W k ,∞.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  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.mx, , , , , , MX

    Ricardo Weder

Authors
  1. Ricardo Weder
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 21 April 1999 / Accepted: 15 July 1999

Rights and permissions

Reprints and permissions

About this article

Cite this article

Weder, R. The W k, p -Continuity of the Schrödinger Wave Operators on the Line. Comm Math Phys 208, 507–520 (1999). https://doi.org/10.1007/s002200050767

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002200050767

Keywords

Search

Navigation