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Mass Propagation for Electromagnetic Schrödinger Evolutions
Juan Antonio Barceló, Biagio Cassano, Luca Fanelli
We investigate the validity of gaussian lower bounds for solutions to an electromagnetic Schrödinger equation with a bounded time-dependent complex electric potential and a time-in…
The Dirichlet-to-Neumann map in a disk with a one-step radial potential. An analytical and numerical study
Juan A. Barceló, Carlos Castro, Sagrario Lantarón +1
We consider the Schrödinger operator with a potential q on a disk and the map that associates to q the corresponding Dirichlet to Neumann (DtN) map. We give some numerical and anal…
The forward problem for the electromagnetic Helmholtz equation with critical singularities
Juan Antonio Barceló, Luis Vega, Miren Zubeldia
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 appl…