The articles during this quantity replicate a next improvement after a systematic assembly entitled Carleman Estimates and keep an eye on idea, held in Cartona in September 1999. The 14 research-level articles, written by way of specialists, specialize in new effects on Carleman estimates and their functions to area of expertise and controlla- bility of partial differential equations and structures. the most issues are certain continuation for elliptic PDEs and platforms, con- trol thought and inverse difficulties. New effects on robust specialty for moment or greater order operators are explored intimately in numerous papers. within the zone of regulate conception. the reader will locate purposes of Carleman estimates to stabiliza- tion, observability and particular keep an eye on for the wave and the SchrOdinger equations. a last paper offers a demanding record of open difficulties concerning regulate- lability of linear and sernilinear warmth equations. The papers comprise exhaustive and basically self-contained proofs without delay ac- cessible to mathematicians, physicists, and graduate scholars with an user-friendly heritage in PDEs. individuals are 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, and E. Zuazua.
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