document: Regional flux target with minimum energy An extension of a gradient controllability problem to the case where the target subregion is a part of the boundary of a parabolic system domain is discussed . A definition and some properties adapted to this case are presented . The focus is on the characterisation of the control achieving a regional boundary gradient target with minimum energy . An approach is developed that leads to a numerical algorithm for the computation of optimal control . Numerical illustrations show the efficiency of the approach and lead to conjectures
doc_bio_tags: B I I O B I O O O O B I I O O O O O B I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I I I O B I O O O O O O O O O B I O O O O B I O O O O O O O O O O O O O