Série ON THE LACK OF NULL-CONTROLLABILITY OF THE HEAT EQUATION ON THE HALF SPACE

@inproceedings{MicuSrieOT,
  title={S{\'e}rie ON THE LACK OF NULL-CONTROLLABILITY OF THE HEAT EQUATION ON THE HALF SPACE},
  author={Sorin Micu and Enrique Zuazua}
}
We study the null-controllability property of the linear heat equation on the half-space with a L Dirichlet boundary control. We rewrite the system on the similarity variables that are a common tool when analyzing asymptotic problems. By separation of variables the multi-dimensional control problem is reduced to an infinite family of one-dimensional controlled systems. Next, the results for this type of systems proved in [18] are used in order to show that, roughly speaking, controllable data… CONTINUE READING