A Weighted Dispersive Estimate for Schrödinger Operators in Dimension Two

M. Burak Erdoǧan, William R. Green

Research output: Contribution to journalArticlepeer-review

Abstract

Let H = -Δ + V, where V is a real valued potential on ℝ2 satisfying {pipe}V(x){pipe}≲〈 x 〉-3-. We prove that if zero is a regular point of the spectrum of H = -Δ + V, then, with w(x) = (log(2 + {pipe}x{pipe}))2. This decay rate was obtained by Murata in the setting of weighted L2 spaces with polynomially growing weights.

Original languageEnglish (US)
Pages (from-to)791-811
Number of pages21
JournalCommunications in Mathematical Physics
Volume319
Issue number3
DOIs
StatePublished - May 2013

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Fingerprint Dive into the research topics of 'A Weighted Dispersive Estimate for Schrödinger Operators in Dimension Two'. Together they form a unique fingerprint.

Cite this