Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
756243 | Systems & Control Letters | 2014 | 5 Pages |
Abstract
The aim of this short paper is to explore a new connection between a conjecture concerning sharp boundary observability estimates for the 11-D heat equation in small time and a conjecture concerning the cost of null-controllability for a 11-D convection–diffusion equation with constant coefficients controlled on the boundary in the vanishing viscosity limit, in the spirit of what was done in Pierre Lissy (2012). We notably establish that the first conjecture implies the second one as soon as the speed of the transport part is non-negative in the transport-diffusion equation.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Pierre Lissy,