This volume consists of 14 research articles that are an outgrowth of a scientific meeting held
in Cortona on the subject of Carleman Estimates and Control Theory. New results are presented
on Carleman estimates and their applications to uniqueness and controllability of partial
differential equations and systems. The main topics are unique continuation for elliptic PDEs
and systems control theory and inverse problems. New results on strong uniqueness for second
or higher order operators are explored in detail in several papers. In the area of control
theory the reader will find applications of Carleman estimates to stabilization observability
and exact control for the wave and Schrödinger equations. A final paper presents a challenging
list of open problems on the topic of controllability of linear and semilinear heat equations.
The articles contain exhaustive and essentially self-contained proofs directly accessible to
mathematicians physicists and graduate students with an elementary background in PDEs.
Contributors: L. Aloui M. Bellassoued N. Burq F. Colombini B. Dehman C. Grammatico M.
Khenissi H. Koch P. Le Borgne N. Lerner T. Nishitani T. Okaji K.D. Phung R. Regbaoui X.
Saint Raymond D. Tataru E. Zuazua
