Spectral clusters, asymmetric spaces, and boundary control for schrödinger equation with strong singularities
Book Chapter
Avdonin, S, Edward, J. (2020). Spectral clusters, asymmetric spaces, and boundary control for schrödinger equation with strong singularities
. 276 94-119. 10.1007/978-3-030-31531-3_9
Avdonin, S, Edward, J. (2020). Spectral clusters, asymmetric spaces, and boundary control for schrödinger equation with strong singularities
. 276 94-119. 10.1007/978-3-030-31531-3_9
We consider a linear system composed of N+1 Schrödinger equations connected by point-mass-like interface conditions. We show that the system is exactly controllable with a Dirichlet boundary control at one end, and various homogeneous boundary conditions on the other end. The reachable set is characterized by spectral data. We then study the regularity of the reachable functions using a family of Riesz bases of asymmetric spaces.
