Smoothing - Strichartz Estimates for the Schrodinger Equation with small Magnetic Potential

Abstract

The work treats smoothing and dispersive properties of solutions to the Schrodinger 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.

References in corpus (1)

• Global regularity for the Maxwell-Klein-Gordon equation with small critical Sobolev norm in high dimensions

Cited by in corpus (5)

• Strichartz and smoothing estimates for dispersive equations with magnetic potentials
• $L^p$ resolvent estimates for magnetic Schrödinger operators with unbounded background fields
• Strichartz and Smoothing Estimates for Schroedinger Operators with Large Magnetic Potentials in R^3
• Strichartz estimates for the magnetic Schrödinger equation with potentials $V$ of critical decay
• A dispersive estimate for the linear wave equation with an electromagnetic potential