Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609901 | Journal of Differential Equations | 2016 | 35 Pages |
Abstract
The control of a linear dispersive system coupling a Schrödinger and a linear Korteweg–de Vries equation is studied in this paper. The system can be viewed as three coupled real-valued equations by taking real and imaginary parts in the Schrödinger equation. The internal null controllability is proven by using either one complex-valued control on the Schrödinger equation or two real-valued controls, one on each equation. Notice that the single Schrödinger equation is not known to be controllable with a real-valued control. The standard duality method is used to reduce the controllability property to an observability inequality, which is obtained by means of a Carleman estimates approach.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fágner D. Araruna, Eduardo Cerpa, Alberto Mercado, Maurício C. Santos,