Obstruction to the Billinear Control of the Gross-Pitaevskii Equation: An Example with an Unbounded Potential

Thomas Chambrion1, Laurent Thomann2

  • 1Université de Lorraine
  • 2Université de Lorraine, IECL

Details

16:00 - 16:20 | Wed 4 Sep | Room FH 2 | WeE2.1

Session: Control of Nonlinear PDEs III

Abstract

In 1982, Ball, Marsden, and Slemrod proved an obstruction to the controllability of linear dynamics with a bounded bilinear control term. This note presents an example of nonlinear dynamics with respect to the state for which this obstruction still holds while the control potential is not bounded.