Éditeur(s) :
HAL CCSD University of Szeged, Bolyai Institute Résumé : International audience
We consider the semilinear heat equation in a boundeddomain of R^m. We prove the null controllability of the systemwith a finite number of constraints on the normal derivative, whenthe control acts on a bounded subset of the domain. First, weshow that the problem can be transformed into a null controllabilityproblem with constraint on the control, for a linear system.Then, we use an appropriate observability inequality to solve thelinearized problem. Finally, we prove the main result by means ofa fixed-point method.
ISSN: 1417-3875
hal-01679144
https://hal.archives-ouvertes.fr/hal-01679144 DOI : 10.14232/ejqtde.2012.1.95