Hardy uncertainty principle and unique continuation properties of covariant Schrödinger flows

Juan Antonio Barcelo, Luca Fanelli, Susana Gutierrez, Alberto Ruiz, Mari Cruz Vilela

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)
134 Downloads (Pure)

Abstract

We prove a logarithmic convexity result for exponentially weighted L-norms of solutions to electromagnetic Schrödinger equation, without needing to assume smallness of the magnetic potential. As a consequence, we can prove a unique continuation result in the style of the Hardy uncertainty principle, which generalizes the analogous theorems which have been recently proved by Escauriaza, Kenig, Ponce and Vega. © 2013 Elsevier Inc.
Original languageEnglish
Pages (from-to)2386-2415
Number of pages30
JournalJournal of Functional Analysis
Volume264
Issue number10
DOIs
Publication statusPublished - 15 May 2013

Keywords

  • math.AP
  • 35J10, 35L05

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