Smoothing - Strichartz estimates for the schrödinger equation with small magnetic potential

Vladimir Georgiev, Atanas Stefanov, Mirko Tarulli

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

The work treats smoothing and dispersive properties of solutions to the Schrödinger equation with magnetic potential. Under suitable smallness assumption on the potential involving scale invariant norms we prove smoothing - Strichartz estimate for the corresponding Cauchy problem. An application that guarantees absence of pure point spectrum of the corresponding perturbed Laplace operator is discussed too.

Original languageEnglish
Pages (from-to)771-786
Number of pages16
JournalDiscrete and Continuous Dynamical Systems
Volume17
Issue number4
Publication statusPublished - 2007 Apr 1

Keywords

  • Schrödinger equation
  • Smoothing properties
  • Strichartz estimates

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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