@article{AIHPC_2008__25_1_1_0, author = {Duyckaerts, Thomas and Zhang, Xu and Zuazua, Enrique}, title = {On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {1--41}, publisher = {Elsevier}, volume = {25}, number = {1}, year = {2008}, doi = {10.1016/j.anihpc.2006.07.005}, mrnumber = {2383077}, zbl = {1248.93031}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2006.07.005/} }