科研之友
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摘要
This article considers the linear 1-d Schrodinger equation in (0, pi) perturbed by a vanishing viscosity term depending on a small parameter epsilon > 0. We study the boundary controllability properties of this perturbed equation and the behavior of its boundary controls nu(epsilon) as epsilon goes to zero. It is shown that, for any time T sufficiently large but independent of e and for each initial datum in H-1 (0, pi), there exists a uniformly bounded family of controls (nu(epsilon))(epsilon) in L-2(0, T) acting on the extremity x = pi. Any weak limit of this family is a control for the Schrodinger equation.
- 出版日期2012-1
