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

Academic Article

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.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Georgiev V; Stefanov A; Tarulli M
  • Start Page

  • 771
  • End Page

  • 786
  • Volume

  • 17
  • Issue

  • 4