Special Session 71: Progress in Partial Differential Equations of Mathematical Physics: Theory and Methods
On the critical lengths and controllability of the Kawahara equation
Lionel ROSIER
Universite du Littoral Cote d`Opale France
Co-Author(s): Fagner D. Araruna and Gleb G. Doronin
Abstract:
This paper deals with the exact controllability of the
Kawahara equation posed on a finite interval with one boundary control.
We prove that the local exact controllability of Kawahara equation holds provided that the length of the interval does not belong to a countable
set of critical lengths.