Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5010635 | Systems & Control Letters | 2016 | 6 Pages |
Abstract
This article proposes some interface conditions for a Korteweg-de Vries (KdV) equation with a piecewise constant main coefficient. The well-posedness of the Cauchy problem is proved by using multiplier technique and then an observability inequality for the adjoint problem is obtained. We end up this article with a result of local exact controllability of the discontinuous main coefficient KdV equation with a right Neumann boundary control provided that the length of the domain is small enough and the time of control is sufficiently large.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Emmanuelle Crépeau,