Dispersive estimate for the 1D Schrödinger equation with a steplike potential

  • D'Ancona P
  • Selberg S
  • 2

    Readers

    Mendeley users who have this article in their library.
  • 2

    Citations

    Citations of this article.

Abstract

We prove a sharp dispersive estimate|Pacu(t,x)|≤C|t|-1/2{dot operator}{norm of matrix}u(0){norm of matrix}L1(R) for the one dimensional Schrödinger equationiut-uxx+V(x)u+V0(x)u=0, where (1+x2)V∈L1(R) and V0 is a step function, real valued and constant on the positive and negative real axes. © 2011 Elsevier Inc.

Author-supplied keywords

  • 35J10
  • 35Q40
  • 58J45
  • Dispersive estimate
  • Schrödinger equation
  • Steplike potentials

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free