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

Vladimir Simeonov Gueorguiev, Atanas Stefanov, Mirko Tarulli

Research output: Contribution to journalArticle

25 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
Externally publishedYes

Fingerprint

Strichartz Estimates
Smoothing
Point Spectrum
Scale Invariant
Laplace Operator
Cauchy Problem
Norm

Keywords

  • Schrödinger equation
  • Smoothing properties
  • Strichartz estimates

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cite this

Smoothing - Strichartz estimates for the schrödinger equation with small magnetic potential. / Gueorguiev, Vladimir Simeonov; Stefanov, Atanas; Tarulli, Mirko.

In: Discrete and Continuous Dynamical Systems, Vol. 17, No. 4, 04.2007, p. 771-786.

Research output: Contribution to journalArticle

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