The forward problem for the electromagnetic Helmholtz equation with critical singularities

Abstract

We study the forward problem of the magnetic Schrödinger operator with potentials that have a strong singularity at the origin. We obtain new resolvent estimates and give some applications on the spectral measure and on the solutions of the associated evolution problem.

References in corpus (3)

• Strichartz estimates for the Wave and Schrodinger Equations with the Inverse-Square Potential
• Effective limiting absorption principles, and applications
• Time decay of scaling critical electromagnetic Schrödinger flows