The present paper deals with (linear) Schrödinger equations, of very general form, which are deffined on a bounded domain \Omega \subset Rn. With focus on these dynamics, we shall then discuss and analyze the specific and foundational topic of a-priori energy identities, with the goal of deriving control-theoretic implications. These will include the issue of optimal regularity, as well as the problems of exact controllability (by open loop controls) and of uniform stabilization (by closed loop feedback controls).
@article{7429,
title = {The role of an L^2(\Omga\-)-energy estimate in the theories of uniform stabilization and exact controllability for Schr\"odinger equations with Neumann boundary control - doi: 10.5269/bspm.v25i1-2.7429},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {23},
year = {2009},
doi = {10.5269/bspm.v25i1-2.7429},
language = {EN},
url = {http://dml.mathdoc.fr/item/7429}
}
Triggiani, Roberto. The role of an L^2(\Omga)-energy estimate in the theories of uniform stabilization and exact controllability for Schrödinger equations with Neumann boundary control - doi: 10.5269/bspm.v25i1-2.7429. Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009) . doi : 10.5269/bspm.v25i1-2.7429. http://gdmltest.u-ga.fr/item/7429/