The forward problem for the electromagnetic Helmholtz equation with critical singularities
arXiv:1211.1030
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.
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- 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
- Energy concentration and explicit Sommerfeld radiation condition for the electromagnetic Helmholtz equation