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

Vladimir Georgiev, Atanas Stefanov, Mirko Tarulli

研究成果: Article

27 引用 (Scopus)

抜粋

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.

元の言語English
ページ(範囲)771-786
ページ数16
ジャーナルDiscrete and Continuous Dynamical Systems
17
発行部数4
DOI
出版物ステータスPublished - 2007 4

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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